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

2. What is the domain and range of a constant function?
Square Root
f(x)=IxI
up
(-infinity - +infinity)

3. What is the range of a square root function?
[0 -+infinity)
Piecewise
Equation of a line
horizontal left

4. 4(x-7)=4x-28 is what type of an equation?
up
x^2
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
identity

5. What is the range for a standard quadratic function?
A V
20+.05x=5+.10x x=minutes
(-infinity - 0]U[0 - +infinity)
f(x+h)-f(x)/h h cannot equal zero

6. What are the calculator instructions for absolute value?
Y=IxI
2nd catalog (zero key -) abs(x) - graph
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
A V

7. Which direction does f(x-c) move
Absolute Value - Constant and Standard Quadratic
x2-x1 because the demonaitor of a quotient can never equal zero
f(x)=x^3
horizontal right

8. What shape is the standard quadratic function?
f(x)=+c and f(x)-c
(-infinity - +infinity)
negative inverse
parabola

9. what is a range?
Equation of a line
Approach neg toward x through zero and above positive close to x
As equations
The second set of components of an ordered pair

10. Which direction does f(x+c) move
(-infinity - +infinity)
f(x2)-f(x1) / x2-x1
A V
horizontal left

11. What can we substitute for f(x)?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
(-infinity - +infinity)
Y
inconsistant

12. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
horizontal
2nd catalog (zero key -) abs(x) - graph
20+.05x=5+.10x x=minutes
f(x)=IxI

13. When is the only time (-infinity - +infinity) is not the domain?
in a quotient
Y=IxI
(f+g) - (f-g) - (fg) - (f/g) all of x
f(x)=x^3

14. Standard absolute value - horizontal shift formulas for left and right
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.
inconsistant
perpendicular line

15. What type of line is a constant function?
Conditional
(-infinity - +infinity)
horizontal
f(x^1)=f(x^2)

16. How would this formula move f(x)=(x+1)^2-3
x^2
1 -2 -3
horizontal
parabola - up one and right three

17. What are the four steps for finding the inverse of a function?
20+.05x=5+.10x x=minutes
(-infinity - +infinity)
f(x+h)-f(x)/h h cannot equal zero
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

18. What points do you use to plot the inverse on a graph?
(-infinity - 0]U[0 - +infinity)
The opposite coordinates
horizontal right
(f+g) - (f-g) - (fg) - (f/g) all of x

19. What is the range of the cube root function?
math 4 x - graph
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)
function notation

20. What is the domain for the standard cubic function?
Yes - all the domains points to one range
(-infinity - +infinity)
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+h)-f(x)/h h cannot equal zero

21. Draw or discuss an increasing function
down
parraelle line
The single number y=
Cannot be drawn in quizlet

22. What is the point slope formula and when do you use it?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Conditional

23. Of the seven of algebra's common graph's how many are neither?
Approach neg toward x through zero and above positive close to x
f(x)=suare root of x
Three odd - cube root - identity - standard cubic
Square Root

24. What are the calculator instructions for the cube root function?
(-infinity - +infinity)
inconsitent
45 degree angle
math 4 x - graph

25. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
in a quotient
up
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

26. What does the absolute value function look like?
Equation of a line
Square Root
Y= then enter the number then press graph
A V

27. how many ranges can you have for each domain?
f(x)=suare root 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.
x = the original sale price and the formula is x - .40x =$276
only one

28. What is a relation?
Any set of ordered pairs
f(x^1)=f(x^2)
f(x)=x^3
45 degree angle

29. What type of slope do you have when a line rises from left to right and m>0?
Piecewise
Set the x and y to zero and get the intercepts and then plot the points
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.
postiive slope

30. What is the formula for to calculate the difference of a quotient function?
f(x)=IxI
f(x+h)-f(x)/h h cannot equal zero
1 -2 -3
identity

31. What is the range of an identity function?
(-infinity - +infinity)
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
45 degree angle

32. x=no real numbers is what type of an equation?
inconsistant
f(x)=x^3
f(x)=IxI
horizontal left

33. What type of function would you use to calculate the most advantageous cell phone plan?
A line passing through two distinct points
(-infinity - +infinity)
Conditional
Piecewise

34. What is the formula for an absolute value function?
f(x)=IxI
even
20+.05x=5+.10x x=minutes
undefined slope

35. Two vertical lines side by side are a symbol for what
Yes because two x's or domains can point to one y
parraelle line
Conditional
because the demintor of a quotient can never equal zero

36. What is an identity function?
0<c<1 - horizontal stretching
The minimum or maximum points
45 degree angle
Conditional

37. What is the average rate of change formula?
Conditional
f(x2)-f(x1) / x2-x1
Equation of a line
postiive slope

38. What is the vertical line formula?
inconsitent
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.
x=a
The first set of components of an ordered pair

39. What is the slope of a perpendicular line?
negative inverse
Y=x^2 - graph
neither
down

40. 4(x-7)=4x+28 is what type of an equation?
f(x^1)=f(x^2)
inconsitent
(-infinity - +infinity)
The single number y=

41. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
parabola - up one and right three
Piecewise
math 4 x - graph

42. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Y= then enter the number then press graph
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
4 -6 -9
f(x)=+c and f(x)-c

43. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
down
parabola - up one and right three
C>1 - horizontal shrinking

44. What does linear equation mean?
Cannot be drawn in quizlet
Equation of a line
f(x)=+c and f(x)-c
even

45. What is the formula for the square root function?
f(x)=suare root of x
parabola - up one and right three
As equations
f(x+c) and f(x-c)

46. What are two examples of composit functions?
f of g and g of f
horizontal right
The secant line
Y=x - identity function

47. What are the calculator instructions for a square root function?
The opposite coordinates
2nd key - x^2 - graph
Y=IxI
Cannot be drawn in quizlet

48. what is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
x = the original sale price and the formula is x - .40x =$276
Y
negative inverse

49. what is the letter used to represent slope?
Y=IxI
f(x)=3 square root x
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
m

50. What is the domain of a square root function?
f of g and g of f
0<c<1 - horizontal stretching
Set the x and y to zero and get the intercepts and then plot the points
[0 -+infinity)