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CLEP College Algebra: Functions

Instructions:

Answer 50 questions in 15 minutes. 2 minutes extra for reading the instructions.
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Match each statement with the correct term.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.

1. What is the vertical line test?
When does a graph not define y as a function of x?
Every line has an equation that can be written in general form. Ax+By+C=0 where A -B & C are real numbers and A & B cannot be zero.
even
A V

2. how many domains can you have pointing to one range?
down
x2-x1 because the demonaitor of a quotient can never equal zero
As many as you like
Y=10

3. What does the standard cubic function look like on a graph?
Every line has an equation that can be written in general form. Ax+By+C=0 where A -B & C are real numbers and A & B cannot be zero.
x^2
Mirror image neg quadrant to that of the positive quandrant
parabola

4. What equation does every line have? Discuss the variables.
Y
The first set of components of an ordered pair
Every line has an equation that can be written in general form. Ax+By+C=0 where A -B & C are real numbers and A & B cannot be zero.
(-infinity - +infinity)

5. What is a domain?
function notation
Line ascending to the right gradually
The first set of components of an ordered pair
horizontal

6. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
f(x+h)-f(x)/h h cannot equal zero
x = the original sale price and the formula is x - .40x =$276
even
Equation of a line

7. What is the formula for to calculate the difference of a quotient function?
f(x+h)-f(x)/h h cannot equal zero
parraelle line
The minimum or maximum points
(-infinity - +infinity)

8. What is the domain of an identity function?
inconsitent
The second set of components of an ordered pair
(-infinity - +infinity)
Cannot be drawn in quizlet

9. Is an absolute value function even - odd or neither?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
neither
even
Change in y / change in x = rise / run = y2-y1 / x2-x1

10. What is the domain of the cube root function?
perpendicular line
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)
zero slope

11. What is the point slope formula and when do you use it?
X is the first invesment at 15% and the next is the original $50K less the first investment at the second interest rate or 7% = $6 -000
Approach neg toward x through zero and above positive close to x
When does a graph not define y as a function of x?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

12. How are functions normally written?
parraelle line
As equations
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Equation of a line

13. 4x+5x=8x is what type of an equation?
Conditional
horizontal
horizontal
Change in y / change in x = rise / run = y2-y1 / x2-x1

14. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
x=a
The slope of a line containing two points
x = the original sale price and the formula is x - .40x =$276
20+.05x=5+.10x x=minutes

15. What are the algebra of functions?
x is the hours to repair the boat. $1603-532=anwser/63 = x
As many as you like
(f+g) - (f-g) - (fg) - (f/g) all of x
m

16. What is the range of the constant function?
The single number y=
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
undefined
(-infinity - 0]U[0 - +infinity)

17. What points do you use to plot the inverse on a graph?
The opposite coordinates
down
45 degree angle
x = the original sale price and the formula is x - .40x =$276

18. What does linear equation mean?
x=a
f(x+c) and f(x-c)
Equation of a line
horizontal left

19. 4(x-7)=4x-28 is what type of an equation?
X is the first invesment at 15% and the next is the original $50K less the first investment at the second interest rate or 7% = $6 -000
C>1 - horizontal shrinking
only one
identity

20. what can never equal zero in the slope formula and why?
f(x)=suare root of x
x2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)
horizontal

21. Which direction does f(x+c) move
f(x)=+c and f(x)-c
Every line has an equation that can be written in general form. Ax+By+C=0 where A -B & C are real numbers and A & B cannot be zero.
C(t) = 20+(.40(t-60) if you have a base of $20 for a plan and .40 cents above every minute you spend over one hour you have to first know how many minutes you went over one hour - then multuply by .40 cents for the additional minutes and add the base
horizontal left

22. What is slope?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The slope of a line containing two points
identity
A line passing through two distinct points

23. Of the seven of algebra's common graph's how many are neither?
f(x)=x^3
Square Root
The second set of components of an ordered pair
Line ascending to the right gradually

24. What are the calculator instructions for the standard cubic function?
x math 3 graph
m
Y= then enter the number then press graph
Change in y / change in x = rise / run = y2-y1 / x2-x1

25. What type of function would you use to calculate the most advantageous cell phone plan?
Set the x and y to zero and get the intercepts and then plot the points
x = the original sale price and the formula is x - .40x =$276
Piecewise
horizontal

26. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
even
Cannot be drawn in quizlet

27. Is the standard cubic function odd - even or neither?
45 degree angle
f(x)=3 square root x
odd
Y=x - identity function

28. What type of line is a constant function?
horizontal
(-infinity - +infinity)
f(x)=IxI
x is the hours to repair the boat. $1603-532=anwser/63 = x

29. Standard absolute value - horizontal shift formulas for left and right
Y=b
f(x+c) and f(x-c)
Every line has an equation that can be written in general form. Ax+By+C=0 where A -B & C are real numbers and A & B cannot be zero.
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

30. Why can h not equal zero in the difference of a quotient function formula?
because the demintor of a quotient can never equal zero
2nd key - x^2 - graph
only one
negative inverse

31. what is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
f(x+h)-f(x)/h h cannot equal zero
horizontal right

32. Which direction does f(x-c) move
Square Root
Cannot be drawn in quizlet
horizontal right
f(x)=3 square root x

33. How do you calculate a constant function in your calculator?
2nd key - x^2 - graph
Y= then enter the number then press graph
horizontal left
X is the first invesment at 15% and the next is the original $50K less the first investment at the second interest rate or 7% = $6 -000

34. What is the domain for a standard quadratic function?
horizontal
(-infinity - +infinity)
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
parraelle line

35. What is the range of a square root function?
(-infinity - +infinity)
[0 -+infinity)
Cannot be drawn in quizlet
Every line has an equation that can be written in general form. Ax+By+C=0 where A -B & C are real numbers and A & B cannot be zero.

36. What is the range of an identity function?
20+.05x=5+.10x x=minutes
function notation
(-infinity - +infinity)
Conditional

37. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Change in y / change in x = rise / run = y2-y1 / x2-x1
C(t) = 20+(.40(t-60) if you have a base of $20 for a plan and .40 cents above every minute you spend over one hour you have to first know how many minutes you went over one hour - then multuply by .40 cents for the additional minutes and add the base
no because you cannot have one domain pointing at two y's or ranges
A V

38. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
horizontal right
As many as you like
4 -6 -9
because the demintor of a quotient can never equal zero

39. y=f(cx) what does this formula represent?
math 4 x - graph
even
0<c<1 - horizontal stretching
f(x)=+c and f(x)-c

40. What direction does f(x)-c move in standard absolute value formula?
x is the hours to repair the boat. $1603-532=anwser/63 = x
down
m
Y= then enter the number then press graph

41. What is the horizontal line formula?
C>1 - horizontal shrinking
Y=b
f(x2)-f(x1) / x2-x1
1 -2 -3

42. What does the graph of the cube root function look like on the graph?
parabola
Y= then enter the number then press graph
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x

43. What is a function?
Conditional
When does a graph not define y as a function of x?
math 4 x - graph
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

44. What are the four steps for solving a linear equation?
Three odd - cube root - identity - standard cubic
f(x)=3 square root x
even
remove grouping symbols and combine like terms - variables on one side of = and numbers on the other - isolate the variables and solve and check anwser.

45. What is the formula for an absolute value function?
C(t) = 20+(.40(t-60) if you have a base of $20 for a plan and .40 cents above every minute you spend over one hour you have to first know how many minutes you went over one hour - then multuply by .40 cents for the additional minutes and add the base
Y=x^2 - graph
f(x)=IxI
only one

46. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
x^2
Yes - all the domains points to one range
C>1 - horizontal shrinking
down

47. y=f(cx) - what does this formula represent?
inconsitent
(f+g) - (f-g) - (fg) - (f/g) all of x
parabola - up one and right three
C>1 - horizontal shrinking

48. Two vertical lines side by side are a symbol for what
parraelle line
Yes because two x's or domains can point to one y
(-infinity - 0]U[0 - +infinity)
f(x)=x^3

49. What is the range of the cube root function?
x math 3 graph
even
(-infinity - +infinity)
because the demintor of a quotient can never equal zero

50. x^2+y=4 is this a function? Why?

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Test your basic knowledge |

CLEP College Algebra: Functions

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3d Computer Modeling

Actionscript

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Adobe Illustrator

Adobe Illustrator Shortcuts

Adobe Indesign Publishing

Adobe Photoshop CS 2 - CS 3

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Adobe Photoshop CS 5 Keyboard Shortcuts

Adobe Photoshop Graphic Design

Adobe Photoshop Tools And Commands

Adobe Premiere Keyboard Shortcuts

Adobe Premiere Pro

After Effects Keyboard Shortcuts

Agile Development

Agile Scrum Methodology

Ajax

Android Programming

Animation

Asp.net Programming