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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 range of an identity function?
Piecewise
(-infinity - +infinity)
function notation
zero slope

2. x= a real number is what type of equation?
Conditional
even
x^2
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

3. y=f(cx) - what does this formula represent?
function notation
(f+g) - (f-g) - (fg) - (f/g) all of x
f(x2)-f(x1) / x2-x1
C>1 - horizontal shrinking

4. Draw or discuss a constant function
Mirror image neg quadrant to that of the positive quandrant
The first set of components of an ordered pair
Cannot be drawn in quizlet
math 4 x - graph

5. Is a constant function even - odd or neither?
A V
even
horizontal left
Conditional

6. What are the calculator instructions for the cube root function?
Piecewise
x^2
math 4 x - graph
Equation of a line

7. Is a standard quadratic function even - odd or neither?
(-infinity - +infinity)
A line passing through two distinct points
m
even

8. Is the standard cubic function odd - even or neither?
The single number y=
C>1 - horizontal shrinking
odd
Y=b

9. What is the domain for a standard quadratic function?
even
Square Root
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)

10. What is the vertical line formula?
x=a
As many as you like
Any set of ordered pairs
math 4 x - graph

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

12. A flat line underlining one vertical line is a symbol for
The minimum or maximum points
perpendicular line
(-infinity - +infinity)
f(x^1)=f(x^2)

13. What is a function?
(-infinity - +infinity)
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
x math 3 graph
2nd catalog (zero key -) abs(x) - graph

14. What type of line is an identity function?
undefined
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
45 degree angle
m

15. What are the calculator instructions for the standard cubic function?
The single number y=
x math 3 graph
Equation of a line
Set the x and y to zero and get the intercepts and then plot the points

16. how many ranges can you have for each domain?
horizontal
(-infinity - +infinity)
2nd key - x^2 - graph
only one

17. Repair bill for a boat is $1 -603. $532 is for parts and it's $63 per hour for labor. How many hours does it take to fix the boat and what is x?
x is the hours to repair the boat. $1603-532=anwser/63 = x
undefined
(-infinity - +infinity)
odd

18. Standard absolute value - vertical shift formulas for positve and negative
f(x)=+c and f(x)-c
[0 -+infinity)
x is the hours to repair the boat. $1603-532=anwser/63 = x
only one

19. What is the range of the constant function?
Line ascending to the right gradually
The single number y=
(f+g) - (f-g) - (fg) - (f/g) all of x
neither

20. What does the standard cubic function look like on a graph?
Set the x and y to zero and get the intercepts and then plot the points
Mirror image neg quadrant to that of the positive quandrant
f(x)=x^3
f(x)=+c and f(x)-c

21. What type of slope do vertical lines have?
[0 -+infinity)
x=a
identity
undefined

22. Which direction does f(x-c) move
horizontal right
function notation
parabola
Any set of ordered pairs

23. Two vertical lines side by side are a symbol for what
Change in y / change in x = rise / run = y2-y1 / x2-x1
inconsistant
parraelle line
even

24. What is the vertex?
45 degree angle
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The minimum or maximum points
f(x2)-f(x1) / x2-x1

25. What is the point slope formula and when do you use it?
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
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

26. What is the domain for an absolute value function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)
math 4 x - graph
x math 3 graph

27. What is the range for the standard cubic function?
The single number y=
(-infinity - +infinity)
up
f of g and g of f

28. What type of slope do you have when a line rises from left to right and m>0?
Y=10
x=a
postiive slope
m

29. What is the vertical line test?
f(x)=+c and f(x)-c
(-infinity - +infinity)
odd
When does a graph not define y as a function of x?

30. What shape is the standard quadratic function?
parabola
perpendicular line
horizontal left
4 -6 -9

31. Is the square root function odd - even or neither?
neither
f(x)=+c and f(x)-c
function notation
odd

32. how many domains can you have pointing to one range?
undefined
negative slope
1 -2 -3
As many as you like

33. What type of line is a constant function?
horizontal
undefined slope
only one
horizontal left

34. Draw or discuss an increasing function
x is the hours to repair the boat. $1603-532=anwser/63 = x
Cannot be drawn in quizlet
identity
Approach neg toward x through zero and above positive close to x

35. What is the slope of a perpendicular line?
negative inverse
As equations
horizontal
f(x)=x^3

36. What is the domain for the standard cubic function?
math 4 x - graph
even
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)

37. 4(x-7)=4x-28 is what type of an equation?
(-infinity - +infinity)
f(x)=+c and f(x)-c
Y=x - identity function
identity

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

39. What points do you use to plot the inverse on a graph?
The opposite coordinates
horizontal right
x is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)

40. Standard absolute value - horizontal shift formulas for left and right
f(x2)-f(x1) / x2-x1
(-infinity - +infinity)
horizontal
f(x+c) and f(x-c)

41. What is a domain?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
The first set of components of an ordered pair
4 -6 -9

42. x=all real numbers is what type of an equation?
identity
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The minimum or maximum points
Y= then enter the number then press graph

43. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
Y
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The minimum or maximum points

44. f(x) = x^2+3x+5 - what type of formula is this?
function notation
Conditional
f(x)=3 square root x
As equations

45. Of the seven of algebra's common graph's how many are neither?
Square Root
identity
The secant line
Yes - all the domains points to one range

46. what can never equal zero in the slope formula and why?
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.
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.
x2-x1 because the demonaitor of a quotient can never equal zero
C>1 - horizontal shrinking

47. What is the range for an absolute value function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Yes - all the domains points to one range
horizontal right
(-infinity - 0]U[0 - +infinity)

48. What is the standard quadratic function?
Y=b
(-infinity - +infinity)
x^2
A V

49. What is the range for a standard quadratic function?
(-infinity - 0]U[0 - +infinity)
m
Y=x - identity function
C>1 - horizontal shrinking

50. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Conditional
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
horizontal
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