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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 formula for to calculate the difference of a quotient function?
same
Any set of ordered pairs
x=a
f(x+h)-f(x)/h h cannot equal zero

2. 4(x-7)=4x+28 is what type of an equation?
The secant line
Equation of a line
Yes because two x's or domains can point to one y
inconsitent

3. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
[0 -+infinity)
negative slope

4. Which direction does f(x+c) move
horizontal left
f(x)=IxI
A V
Absolute Value - Constant and Standard Quadratic

5. What can we substitute for f(x)?
Y
The single number y=
A line passing through two distinct points
only one

6. What type of line is a constant function?
parraelle line
horizontal
(-infinity - 0]U[0 - +infinity)
same

7. What points do you use to plot the inverse on a graph?
horizontal
The opposite coordinates
up
even

8. What is the formula for an identity function?
The single number y=
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)
f(x) = x

9. 4(x-7)=4x-28 is what type of an equation?
identity
f of g and g of f
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
[0 -+infinity)

10. What is another way to write f(x)=x - what type of function is this?
even
Y=x - identity function
x2-x1 because the demonaitor of a quotient can never equal zero
A line passing through two distinct points

11. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
f(x+h)-f(x)/h h cannot equal zero
When does a graph not define y as a function of 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
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

12. What are the calculator instructions for the cube root function?
in a quotient
math 4 x - graph
Cannot be drawn in quizlet
down

13. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
As equations
(-infinity - +infinity)
m
20+.05x=5+.10x x=minutes

14. What does the graph of the cube root function look like on the graph?
f(x2)-f(x1) / x2-x1
x2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x

15. What is the vertex?
inconsitent
neither
The minimum or maximum points
Approach neg toward x through zero and above positive close to x

16. In an identity function if f(10)=x than what is y?
even
Conditional
Y=b
Y=10

17. What is the range of a square root function?
4 -6 -9
The slope of a line containing two points
[0 -+infinity)
m

18. What is the range of an identity function?
(-infinity - +infinity)
Equation of a line
math 4 x - graph
Three odd - cube root - identity - standard cubic

19. What is a relation?
Cannot be drawn in quizlet
Any set of ordered pairs
1 -2 -3
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. What type of function would you use to calculate the most advantageous cell phone plan?
The opposite coordinates
Y=b
horizontal
Piecewise

21. What are the algebra of functions?
Set the x and y to zero and get the intercepts and then plot the points
only one
(f+g) - (f-g) - (fg) - (f/g) all of x
45 degree angle

22. what is the formula for slope?
parraelle line
Change in y / change in x = rise / run = y2-y1 / x2-x1
horizontal
x = the original sale price and the formula is x - .40x =$276

23. y=f(cx) what does this formula represent?
up
0<c<1 - horizontal stretching
inconsitent
horizontal

24. Standard absolute value - horizontal shift formulas for left and right
f(x+c) and f(x-c)
down
Y
45 degree angle

25. Two vertical lines side by side are a symbol for what
math 4 x - graph
parraelle line
1 -2 -3
inconsitent

26. how many ranges can you have for each domain?
As equations
(-infinity - 0]U[0 - +infinity)
f(x+c) and f(x-c)
only one

27. What is another way of writing the absolute value function?
function notation
f of g and g of f
Y=IxI
undefined

28. What type of slope do vertical lines have?
m
Absolute Value - Constant and Standard Quadratic
Y=10
undefined

29. what is a range?
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
The second set of components of an ordered pair
(-infinity - 0]U[0 - +infinity)

30. What is the slope intercept formula? Define all the variables.
x is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)
horizontal
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

31. $50 -000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6 -000. What is x and what is the formula?
Square Root
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
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Yes because two x's or domains can point to one y

32. x= a real number is what type of equation?
Conditional
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
f(x) = x

33. What is the vertical line formula?
x=a
f(x)=suare root of x
2nd catalog (zero key -) abs(x) - graph
Y=x - identity function

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

35. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
even
1 -2 -3
x = the original sale price and the formula is x - .40x =$276
Y=10

36. Is an identity function even - odd or neither?
parabola - up one and right three
odd
only one
0<c<1 - horizontal stretching

37. x=all real numbers is what type of an equation?
Y=10
identity
The secant line
in a quotient

38. What is the range for an absolute value function?
(-infinity - 0]U[0 - +infinity)
Line ascending to the right gradually
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

39. What is a domain?
neither
x is the hours to repair the boat. $1603-532=anwser/63 = x
The first set of components of an ordered pair
odd

40. What is the formula for the cube root function?
f(x)=suare root of x
Absolute Value - Constant and Standard Quadratic
Y=x - identity function
f(x)=3 square root x

41. What direction does f(x)-c move in standard absolute value formula?
Equation of a line
down
m
f(x)=+c and f(x)-c

42. Is an absolute value function even - odd or neither?
even
parraelle line
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)

43. What is the domain of a square root function?
When does a graph not define y as a function of x?
Y=x - identity function
[0 -+infinity)
down

44. What type of line is an identity function?
Cannot be drawn in quizlet
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Yes because two x's or domains can point to one y
45 degree angle

45. What does the average rate of change formula solve?
(-infinity - +infinity)
The slope of a line containing two points
f(x^1)=f(x^2)
(-infinity - +infinity)

46. When is the only time (-infinity - +infinity) is not the domain?
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.
in a quotient
[0 -+infinity)
1 -2 -3

47. What is the horizontal line formula?
(f+g) - (f-g) - (fg) - (f/g) all of x
The single number y=
Y=b
Y= then enter the number then press graph

48. What type of slope do you have when m=? and the line is vertical?
The secant line
undefined slope
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
f of g and g of f

49. y=f(cx) - what does this formula represent?
C>1 - horizontal shrinking
undefined
(-infinity - 0]U[0 - +infinity)
20+.05x=5+.10x x=minutes

50. What is slope?
(-infinity - 0]U[0 - +infinity)
A line passing through two distinct points
horizontal
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph