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CLEP College Algebra: Functions

Instructions:

Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can study here.
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. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
(-infinity - +infinity)
A V
The second set of components of an ordered pair
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

2. What type of slope do you have when a line rises from left to right and m>0?
m
horizontal right
(-infinity - +infinity)
postiive slope

3. A flat line underlining one vertical line is a symbol for
parraelle line
perpendicular line
even
horizontal

4. What direction does f(x)-c move in standard absolute value formula?
inconsitent
down
A V
x is the hours to repair the boat. $1603-532=anwser/63 = x

5. What is the domain and range of a constant function?
same
(-infinity - +infinity)
Piecewise
Three odd - cube root - identity - standard cubic

6. Is an identity function even - odd or neither?
The second set of components of an ordered pair
odd
As many as you like
(-infinity - +infinity)

7. What is the range of an identity function?
45 degree angle
(-infinity - +infinity)
postiive slope
horizontal right

8. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
x math 3 graph
even
parraelle line

9. Is a constant function even - odd or neither?
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
even
0<c<1 - horizontal stretching

10. What equation does every line have? Discuss the variables.
horizontal left
x is the hours to repair the boat. $1603-532=anwser/63 = 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.
x = the original sale price and the formula is x - .40x =$276

11. Two vertical lines side by side are a symbol for what
f(x) = x
(-infinity - +infinity)
parraelle line
Y=b

12. Which direction does f(x-c) move
(-infinity - +infinity)
Y=x^2 - graph
horizontal right
no because you cannot have one domain pointing at two y's or ranges

13. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
postiive slope
4 -6 -9
up
(f+g) - (f-g) - (fg) - (f/g) all of x

14. What are the calculator instructions for the standard cubic function?
x2-x1 because the demonaitor of a quotient can never equal zero
Cannot be drawn in quizlet
x math 3 graph
(-infinity - +infinity)

15. How are functions normally written?
even
As equations
Line ascending to the right gradually
down

16. What type of line is a constant function?
f(x)=3 square root x
Three odd - cube root - identity - standard cubic
horizontal
The single number y=

17. What does the absolute value function look like?
up
A V
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.
Absolute Value - Constant and Standard Quadratic

18. Why can h not equal zero in the difference of a quotient function formula?
45 degree angle
Change in y / change in x = rise / run = y2-y1 / x2-x1
because the demintor of a quotient can never equal zero
[0 -+infinity)

19. what is the letter used to represent slope?
horizontal left
(-infinity - +infinity)
m
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

20. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
Approach neg toward x through zero and above positive close to x
undefined slope
(-infinity - +infinity)

21. Draw or discuss an increasing function
negative slope
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.
f(x^1)=f(x^2)
Cannot be drawn in quizlet

22. What is the range for a standard quadratic function?
undefined slope
Line ascending to the right gradually
(-infinity - 0]U[0 - +infinity)
The secant line

23. Is a standard quadratic function even - odd or neither?
even
(-infinity - +infinity)
f(x)=IxI
C>1 - horizontal shrinking

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

25. What type of function would you use to calculate the most advantageous cell phone plan?
in a quotient
(-infinity - +infinity)
The second set of components of an ordered pair
Piecewise

26. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
x = the original sale price and the formula is x - .40x =$276
x math 3 graph
even
down

27. Repair bill for a boat is $1 -603. $532 is for parts and it's $63 per hour for labor. How many hours does it take to fix the boat and what is x?
The minimum or maximum points
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
x is the hours to repair the boat. $1603-532=anwser/63 = x
Piecewise

28. What is a function?
The secant line
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Absolute Value - Constant and Standard Quadratic
identity

29. x=no real numbers is what type of an equation?
even
Any set of ordered pairs
in a quotient
inconsistant

30. What is the range for the standard cubic function?
even
undefined
(-infinity - +infinity)
f(x)=IxI

31. What is the formula in both horizontal stretching and horizontal shrinking?
x math 3 graph
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
f(x^1)=f(x^2)
even

32. What does the average rate of change formula solve?
The slope of a line containing two points
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
neither
even

33. Draw or discuss a decreasing function
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Cannot be drawn in quizlet
2nd key - x^2 - graph
(-infinity - 0]U[0 - +infinity)

34. What is the point slope formula and when do you use it?
Equation of a line
horizontal left
2nd key - x^2 - graph
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

35. What are the four steps for finding the inverse of a function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
(-infinity - 0]U[0 - +infinity)
A line passing through two distinct points
undefined

36. What is the formula for the standard cubic function?
identity
The second set of components of an ordered pair
Equation of a line
f(x)=x^3

37. What is the domain of the cube root function?
because the demintor of a quotient can never equal zero
down
Y=IxI
(-infinity - +infinity)

38. f(x) = x^2+3x+5 - what type of formula is this?
function notation
The opposite coordinates
Y=b
Y= then enter the number then press graph

39. What are the calculator instructions for a square root function?
f(x+c) and f(x-c)
A V
Equation of a line
2nd key - x^2 - graph

40. What is the range of the cube root function?
(-infinity - +infinity)
x=a
Y=b
45 degree angle

41. What does the square root function look like on a graph?
horizontal left
Line ascending to the right gradually
inconsistant
f(x^1)=f(x^2)

42. what is a range?
The second set of components of an ordered pair
postiive slope
(-infinity - 0]U[0 - +infinity)
A V

43. 4(x-7)=4x+28 is what type of an equation?
f(x)=IxI
inconsitent
The minimum or maximum points
m

44. What does the standard cubic function look like on a graph?
f(x2)-f(x1) / x2-x1
As equations
parraelle line
Mirror image neg quadrant to that of the positive quandrant

45. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
horizontal right
Square Root
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
20+.05x=5+.10x x=minutes

46. 4x+5x=8x is what type of an equation?
The slope of a line containing two points
odd
Change in y / change in x = rise / run = y2-y1 / x2-x1
Conditional

47. What are the calculator instructions for a standard quadratic equation?
x^2
(-infinity - +infinity)
Y=x^2 - graph
4 -6 -9

48. What is slope?
f(x^1)=f(x^2)
A V
Absolute Value - Constant and Standard Quadratic
A line passing through two distinct points

49. What is the formula for to calculate the difference of a quotient function?
f(x+h)-f(x)/h h cannot equal zero
Absolute Value - Constant and Standard Quadratic
(f+g) - (f-g) - (fg) - (f/g) all of x
Any set of ordered pairs

50. y=f(cx) what does this formula represent?
parabola - up one and right three
The single number y=
x = the original sale price and the formula is x - .40x =$276
0<c<1 - horizontal stretching