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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 standard quadratic function?
45 degree angle
The slope of a line containing two points
f(x) = x
x^2

2. How do you graph Ax+By+C=0?
20+.05x=5+.10x x=minutes
Set the x and y to zero and get the intercepts and then plot the points
Approach neg toward x through zero and above positive close to x
f(x2)-f(x1) / x2-x1

3. What is the domain for an absolute value function?
horizontal right
Approach neg toward x through zero and above positive close to x
m
(-infinity - +infinity)

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

5. what is the letter used to represent slope?
(-infinity - +infinity)
0<c<1 - horizontal stretching
m
f(x) = x

6. What does the average rate of change formula solve?
f(x+h)-f(x)/h h cannot equal zero
Conditional
zero slope
The slope of a line containing two points

7. What is the range for the standard cubic function?
perpendicular line
(-infinity - +infinity)
The first set of components of an ordered pair
Equation of a line

8. What type of line is a constant function?
zero slope
horizontal
parabola
f(x^1)=f(x^2)

9. What is the point slope formula and when do you use it?
(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
The opposite coordinates
f(x)=3 square root x

10. A flat line underlining one vertical line is a symbol for
perpendicular line
Yes - all the domains points to one range
f of g and g of f
Y=10

11. What are the calculator instructions for a standard quadratic equation?
Line ascending to the right gradually
Y=x^2 - graph
The opposite coordinates
perpendicular line

12. 4(x-7)=4x+28 is what type of an equation?
f(x+h)-f(x)/h h cannot equal zero
As equations
The first set of components of an ordered pair
inconsitent

13. What type of line is an identity function?
As equations
(-infinity - +infinity)
45 degree angle
f(x)=+c and f(x)-c

14. What is the horizontal line formula?
Y=b
A V
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
identity

15. What is the vertex?
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)
The minimum or maximum points
parabola - up one and right three

16. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
C>1 - horizontal shrinking
Any set of ordered pairs
(-infinity - +infinity)
4 -6 -9

17. What are the algebra of functions?
postiive slope
(f+g) - (f-g) - (fg) - (f/g) all of x
Set the x and y to zero and get the intercepts and then plot the points
Y=IxI

18. What is the domain of the cube root function?
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)
C>1 - horizontal shrinking
As equations

19. What points do you use to plot the inverse on a graph?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
The opposite coordinates
The slope of a line containing two points
f(x)=IxI

20. What is the formula for an identity function?
As equations
As many as you like
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

21. What does the graph of the cube root function look like on the graph?
x^2
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
Approach neg toward x through zero and above positive close to x
in a quotient

22. What type of slope do you have when the line is horizontal and m=0?
The secant line
zero slope
negative inverse
The first set of components of an ordered pair

23. y=f(cx) what does this formula represent?
Cannot be drawn in quizlet
f(x) = x
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
0<c<1 - horizontal stretching

24. What is the formula for the standard cubic function?
f(x)=x^3
x2-x1 because the demonaitor of a quotient can never equal zero
Three odd - cube root - identity - standard cubic
Y

25. What type of line is a constant function?
Cannot be drawn in quizlet
horizontal
x math 3 graph
Change in y / change in x = rise / run = y2-y1 / x2-x1

26. Why can h not equal zero in the difference of a quotient function formula?
Line ascending to the right gradually
postiive slope
(f+g) - (f-g) - (fg) - (f/g) all of x
because the demintor of a quotient can never equal zero

27. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
4 -6 -9
Any set of ordered pairs
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
A V

28. What does the square root function look like on a graph?
x = the original sale price and the formula is x - .40x =$276
f(x2)-f(x1) / x2-x1
Line ascending to the right gradually
even

29. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
Cannot be drawn in quizlet
parabola - up one and right three
20+.05x=5+.10x x=minutes
x = the original sale price and the formula is x - .40x =$276

30. What type of slope do you have when a line falls left to right and m<0?
As equations
even
same
negative slope

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

32. What is the domain for a standard quadratic function?
even
(-infinity - +infinity)
m
parabola - up one and right three

33. What is the range of the constant function?
[0 -+infinity)
The single number y=
x2-x1 because the demonaitor of a quotient can never equal zero
Equation of a line

34. What is the formula in both horizontal stretching and horizontal shrinking?
(-infinity - +infinity)
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
1 -2 -3
x^2

35. Is a constant function even - odd or neither?
even
up
Square Root
parabola - up one and right three

36. Standard absolute value - vertical shift formulas for positve and negative
The second set of components of an ordered pair
f(x)=+c and f(x)-c
Three odd - cube root - identity - standard cubic
45 degree angle

37. In an identity function if f(10)=x than what is y?
f(x) = x
Y=IxI
Y=10
(-infinity - +infinity)

38. What is slope?
The first set of components of an ordered pair
f(x) = x
A line passing through two distinct points
zero slope

39. Standard absolute value - horizontal shift formulas for left and right
only one
f(x+c) and f(x-c)
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.
(f+g) - (f-g) - (fg) - (f/g) all of x

40. how many ranges can you have for each domain?
(-infinity - +infinity)
only one
up
parabola - up one and right three

41. Of the seven of algebra's common graph's how many are neither?
Cannot be drawn in quizlet
Y
Conditional
Square Root

42. What are the calculator instructions for the cube root function?
(-infinity - +infinity)
math 4 x - graph
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Cannot be drawn in quizlet

43. f(x) = x^2+3x+5 - what type of formula is this?
only one
function notation
A V
f of g and g of f

44. Is the standard cubic function odd - even or neither?
0<c<1 - horizontal stretching
odd
even
Approach neg toward x through zero and above positive close to x

45. What type of slope do you have when m=? and the line is vertical?
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
undefined slope
f of g and g of f

46. What type of slope do vertical lines have?
(-infinity - +infinity)
undefined
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 - identity function

47. What are the calculator instructions for absolute value?
f(x^1)=f(x^2)
m
The single number y=
2nd catalog (zero key -) abs(x) - graph

48. What is the slope intercept formula? Define all the variables.
identity
inconsitent
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the 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

49. What are the calculator instructions for the standard cubic function?
f(x)=suare root of x
x math 3 graph
identity
horizontal left

50. What is the line called that illustrates the straight line between the two points when showing average rate of change?
x=a
Square Root
only one
The secant line