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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 of an identity 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
(-infinity - +infinity)
postiive slope
45 degree angle

2. What type of function would you use to calculate the most advantageous cell phone plan?
f(x)=IxI
Piecewise
(-infinity - +infinity)
Y=x - identity function

3. What is the range for the standard cubic function?
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Y=IxI

4. x= a real number is what type of equation?
Three odd - cube root - identity - standard cubic
2nd key - x^2 - graph
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.
Conditional

5. Which direction does f(x+c) move
The secant line
Any set of ordered pairs
horizontal left
parraelle line

6. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
The slope of a line containing two points
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
1 -2 -3

7. What is the slope of a perpendicular line?
horizontal right
negative inverse
m
(-infinity - 0]U[0 - +infinity)

8. What is a domain?
The first set of components of an ordered pair
parraelle line
postiive slope
neither

9. What is the domain of a square root function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
[0 -+infinity)
f(x2)-f(x1) / x2-x1
Absolute Value - Constant and Standard Quadratic

10. Of the seven of algebra's common graph's how many are odd?
negative slope
parraelle line
[0 -+infinity)
Three odd - cube root - identity - standard cubic

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

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12. What is the domain for the standard cubic function?
m
(-infinity - +infinity)
Line ascending to the right gradually
same

13. In an identity function if f(10)=x than what is y?
Y=10
x = the original sale price and the formula is x - .40x =$276
Any set of ordered pairs
As equations

14. What is the vertical line formula?
Any set of ordered pairs
A V
x=a
only one

15. Draw or discuss a decreasing function
A line passing through two distinct points
Cannot be drawn in quizlet
Conditional
f(x)=x^3

16. What are two examples of composit functions?
horizontal
f of g and g of f
Three odd - cube root - identity - standard cubic
odd

17. Standard absolute value - horizontal shift formulas for left and right
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.
As equations
Yes because two x's or domains can point to one y
f(x+c) and f(x-c)

18. What is the formula for to calculate the difference of a quotient function?
The opposite coordinates
f(x+h)-f(x)/h h cannot equal zero
in a quotient
0<c<1 - horizontal stretching

19. What type of slope do horizontal lines have?
same
Y=10
no because you cannot have one domain pointing at two y's or ranges
(-infinity - +infinity)

20. 4x+5x=8x is what type of an equation?
2nd key - x^2 - graph
Conditional
neither
[0 -+infinity)

21. What is the domain for a standard quadratic function?
horizontal
(-infinity - +infinity)
1 -2 -3
(-infinity - 0]U[0 - +infinity)

22. What is the standard quadratic function?
(-infinity - +infinity)
in a quotient
x^2
Yes - all the domains points to one range

23. What is a constant function?
odd
2nd key - x^2 - 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
f(x^1)=f(x^2)

24. What does the graph of the cube root function look like on the graph?
Approach neg toward x through zero and above positive close to 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
2nd key - x^2 - graph
(-infinity - +infinity)

25. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
(-infinity - +infinity)
negative slope
20+.05x=5+.10x x=minutes

26. What is a relation?
x = the original sale price and the formula is x - .40x =$276
odd
Any set of ordered pairs
Equation of a line

27. What is the slope intercept formula? Define all the variables.
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
negative slope
Approach neg toward x through zero and above positive close to x
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

28. How do you calculate a constant function in your calculator?
The opposite coordinates
Y= then enter the number then press graph
Equation of a line
x2-x1 because the demonaitor of a quotient can never equal zero

29. What is the range of the constant function?
Line ascending to the right gradually
Cannot be drawn in quizlet
The single number y=
A V

30. What does the absolute value function look like?
A V
odd
f(x) = x
The single number y=

31. What type of slope do you have when the line is horizontal and m=0?
f(x2)-f(x1) / x2-x1
zero slope
Line ascending to the right gradually
down

32. What is the vertex?
f(x+c) and f(x-c)
(-infinity - 0]U[0 - +infinity)
The minimum or maximum points
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.

33. What direction does f(x)-c move in standard absolute value formula?
[0 -+infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
horizontal left
down

34. Standard absolute value - vertical shift formulas for positve and negative
f(x)=+c and f(x)-c
x math 3 graph
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
20+.05x=5+.10x x=minutes

35. Draw or discuss an increasing function
4 -6 -9
Cannot be drawn in quizlet
C>1 - horizontal shrinking
f(x)=+c and f(x)-c

36. What does the average rate of change formula solve?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
even
negative inverse
The slope of a line containing two points

37. Is the square root function odd - even or neither?
only one
Approach neg toward x through zero and above positive close to x
x^2
neither

38. 4(x-7)=4x-28 is what type of an equation?
f(x)=+c and f(x)-c
x^2
identity
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

39. What is the formula for the square root function?
f(x)=suare root of x
zero slope
horizontal left
f(x)=+c and f(x)-c

40. What are the calculator instructions for the standard cubic function?
x=a
2nd catalog (zero key -) abs(x) - graph
m
x math 3 graph

41. What is the formula in both horizontal stretching and horizontal shrinking?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
x=a
in a quotient
(-infinity - +infinity)

42. What type of slope do vertical lines have?
(-infinity - +infinity)
2nd key - x^2 - graph
undefined
negative slope

43. What type of slope do you have when m=? and the line is vertical?
f(x^1)=f(x^2)
Y=b
undefined slope
The minimum or maximum points

44. what can never equal zero in the slope formula and why?
postiive slope
f(x)=x^3
x2-x1 because the demonaitor of a quotient can never equal zero
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.

45. How are functions normally written?
identity
As equations
45 degree angle
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

46. What are the calculator instructions for the cube root function?
perpendicular line
Piecewise
math 4 x - graph
f(x)=3 square root x

47. Is an absolute value function even - odd or neither?
[0 -+infinity)
even
only one
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

48. Of the seven of algebra's common graph's how many are even?
even
Piecewise
Equation of a line
Absolute Value - Constant and Standard Quadratic

49. What points do you use to plot the inverse on a graph?
down
The opposite coordinates
As equations
[0 -+infinity)

50. y=f(cx) - what does this formula represent?
C>1 - horizontal shrinking
x=a
Any set of ordered pairs
Square Root