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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. What is the domain and range of a constant function?
x is the hours to repair the boat. $1603-532=anwser/63 = x
f(x)=3 square root x
Y=b
(-infinity - +infinity)

2. Is the standard cubic function odd - even or neither?
Yes - all the domains points to one range
parabola
function notation
odd

3. What equation does every line have? Discuss the variables.
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=x^2 - graph
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Piecewise

4. What are the four steps for solving a linear equation?
parabola - up one and right three
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.
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph

5. Is the square root function odd - even or neither?
odd
neither
inconsistant
Any set of ordered pairs

6. what is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
even
Cannot be drawn in quizlet
Y

7. What type of slope do you have when a line rises from left to right and m>0?
f(x)=+c and f(x)-c
postiive slope
in a quotient
Equation of a line

8. What can we substitute for f(x)?
(-infinity - +infinity)
Any set of ordered pairs
Y
even

9. What is an identity function?
45 degree angle
f of g and g of f
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.

10. What are two examples of composit functions?
Piecewise
Square Root
f of g and g of f
Cannot be drawn in quizlet

11. How do you calculate a constant function in your calculator?
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
Three odd - cube root - identity - standard cubic
no because you cannot have one domain pointing at two y's or ranges
Y= then enter the number then press graph

12. What are the calculator instructions for a square root function?
[0 -+infinity)
inconsitent
2nd key - x^2 - graph
f(x2)-f(x1) / x2-x1

13. y=f(cx) - what does this formula represent?
parabola
f(x+h)-f(x)/h h cannot equal zero
As equations
C>1 - horizontal shrinking

14. What is the formula for to calculate the difference of a quotient function?
because the demintor of a quotient can never equal zero
(-infinity - +infinity)
f(x+h)-f(x)/h h cannot equal zero
Carefuly understand let x be one of the unknowns - write expressions for any other unknowns in terms of x - write an equation in x that models the verbal conditions of the problem - solve the equation - check solution in the original wording of the p

15. Which direction does f(x-c) move
horizontal right
4 -6 -9
x^2
Absolute Value - Constant and Standard Quadratic

16. What type of line is a constant function?
Line ascending to the right gradually
horizontal
up
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

17. What is a function?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
f(x) = x
horizontal right

18. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
(-infinity - +infinity)
(-infinity - +infinity)
f(x)=suare root of x
Yes - all the domains points to one range

19. What type of slope do you have when m=? and the line is vertical?
Y=x^2 - graph
undefined slope
(-infinity - +infinity)
identity

20. What is the range of the constant function?
Cannot be drawn in quizlet
parraelle line
same
The single number y=

21. What is the range of the cube root function?
even
Mirror image neg quadrant to that of the positive quandrant
because the demintor of a quotient can never equal zero
(-infinity - +infinity)

22. What is the domain of a square root function?
f(x) = x
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
[0 -+infinity)
neither

23. Is an identity function even - odd or neither?
Conditional
m
odd
As equations

24. What direction does f(x)-c move in standard absolute value formula?
because the demintor of a quotient can never equal zero
only one
The slope of a line containing two points
down

25. What is the formula for an identity function?
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
f(x) = x
even

26. What is the vertical line formula?
Yes - all the domains points to one range
x=a
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
undefined slope

27. Is a standard quadratic function even - odd or neither?
even
Y
f(x2)-f(x1) / x2-x1
(-infinity - +infinity)

28. 4x+5x=8x is what type of an equation?
f(x) = x
same
Conditional
x math 3 graph

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

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30. What does the standard cubic function look like on a graph?
The secant line
[0 -+infinity)
Mirror image neg quadrant to that of the positive quandrant
function notation

31. What is the range of an identity function?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - +infinity)
perpendicular line
Y= then enter the number then press graph

32. what is the letter used to represent slope?
identity
horizontal right
The opposite coordinates
m

33. Standard absolute value - vertical shift formulas for positve and negative
no because you cannot have one domain pointing at two y's or ranges
even
even
f(x)=+c and f(x)-c

34. What is the formula for the standard cubic function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Change in y / change in x = rise / run = y2-y1 / x2-x1
f(x)=x^3
Y=b

35. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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
Conditional
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
inconsitent

36. What is the formula in both horizontal stretching and horizontal shrinking?
x2-x1 because the demonaitor of a quotient can never equal zero
Carefuly understand let x be one of the unknowns - write expressions for any other unknowns in terms of x - write an equation in x that models the verbal conditions of the problem - solve the equation - check solution in the original wording of the p
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
in a quotient

37. Of the seven of algebra's common graph's how many are neither?
Square Root
0<c<1 - horizontal stretching
Y=x - identity function
The slope of a line containing two points

38. What is the average rate of change formula?
f(x2)-f(x1) / x2-x1
neither
Approach neg toward x through zero and above positive close to x
20+.05x=5+.10x x=minutes

39. What is the standard quadratic function?
perpendicular line
x2-x1 because the demonaitor of a quotient can never equal zero
The minimum or maximum points
x^2

40. What is the vertical line test?
only one
The secant line
Line ascending to the right gradually
When does a graph not define y as a function of x?

41. What is the domain of an identity function?
The second set of components of an ordered pair
Approach neg toward x through zero and above positive close to x
Cannot be drawn in quizlet
(-infinity - +infinity)

42. What points do you use to plot the inverse on a graph?
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)
The opposite coordinates
inconsitent

43. What is the formula for the cube root function?
down
Y= then enter the number then press graph
(-infinity - +infinity)
f(x)=3 square root x

44. What does the absolute value function look like?
horizontal
A V
horizontal left
Approach neg toward x through zero and above positive close to x

45. What type of slope do horizontal lines have?
identity
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
same

46. Of the seven of algebra's common graph's how many are odd?
Line ascending to the right gradually
f(x^1)=f(x^2)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Three odd - cube root - identity - standard cubic

47. What does the square root function look like on a graph?
Line ascending to the right gradually
The second set of components of an ordered pair
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
f(x)=+c and f(x)-c

48. What are the calculator instructions for the cube root function?
even
identity
math 4 x - graph
(f+g) - (f-g) - (fg) - (f/g) all of x

49. How are functions normally written?
negative slope
Three odd - cube root - identity - standard cubic
As equations
The opposite coordinates

50. What type of function would you use to calculate the most advantageous cell phone plan?
Y=10
Cannot be drawn in quizlet
down
Piecewise