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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 does the average rate of change formula solve?
f of g and g of f
Conditional
The slope of a line containing two points
2nd catalog (zero key -) abs(x) - graph

2. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
in a quotient
1 -2 -3
f(x+c) and f(x-c)
f(x)=3 square root x

3. What does the square root function look like on a graph?
[0 -+infinity)
Line ascending to the right gradually
Set the x and y to zero and get the intercepts and then plot the points
in a quotient

4. When is the only time (-infinity - +infinity) is not the domain?
f of g and g of f
Line ascending to the right gradually
in a quotient
A V

5. What is the range for the standard cubic function?
C>1 - horizontal shrinking
Y=x^2 - graph
(-infinity - +infinity)
identity

6. what is the formula for slope?
f(x)=3 square root x
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
same
Change in y / change in x = rise / run = y2-y1 / x2-x1

7. What is the domain of the cube root function?
parabola - up one and right three
only one
(-infinity - +infinity)
The first set of components of an ordered pair

8. What is the formula for the square root function?
Conditional
f(x)=suare root of x
down
even

9. x=all real numbers is what type of an equation?
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.
Y=x^2 - graph
A line passing through two distinct points
identity

10. what is a range?
Y=x - identity function
The second set of components of an ordered pair
zero slope
undefined

11. What are the calculator instructions for absolute value?
C>1 - horizontal shrinking
2nd catalog (zero key -) abs(x) - graph
function notation
Line ascending to the right gradually

12. What are two examples of composit functions?
even
(-infinity - +infinity)
Carefuly understand let x be one of the unknowns - write expressions for any other unknowns in terms of x - write an equation in x that models the verbal conditions of the problem - solve the equation - check solution in the original wording of the p
f of g and g of f

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

14. What are the four steps for finding the inverse of a function?
Any set of ordered pairs
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Cannot be drawn in quizlet

15. Of the seven of algebra's common graph's how many are neither?
Line ascending to the right gradually
x^2
Square Root
Three odd - cube root - identity - standard cubic

16. How are functions normally written?
Change in y / change in x = rise / run = y2-y1 / x2-x1
horizontal
As equations
Absolute Value - Constant and Standard Quadratic

17. Draw or discuss a constant function
parabola - up one and right three
Cannot be drawn in quizlet
zero slope
4 -6 -9

18. What type of slope do you have when a line rises from left to right and m>0?
The opposite coordinates
The slope of a line containing two points
postiive slope
(-infinity - 0]U[0 - +infinity)

19. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
math 4 x - graph
Absolute Value - Constant and Standard Quadratic
Equation of a line

20. What is the vertical line test?
Y=10
same
even
When does a graph not define y as a function of x?

21. y=f(cx) - what does this formula represent?
horizontal
[0 -+infinity)
undefined slope
C>1 - horizontal shrinking

22. What shape is the standard quadratic function?
inconsitent
parabola
Y=b
because the demintor of a quotient can never equal zero

23. Is a constant function even - odd or neither?
f(x^1)=f(x^2)
even
Y=x - identity function
odd

24. What type of slope do you have when the line is horizontal and m=0?
inconsistant
The slope of a line containing two points
zero slope
down

25. f(x) = x^2+3x+5 - what type of formula is this?
(-infinity - +infinity)
f(x)=IxI
even
function notation

26. 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?
horizontal
Y= then enter the number then press graph
x is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)

27. Of the seven of algebra's common graph's how many are odd?
negative inverse
Three odd - cube root - identity - standard cubic
Equation of a line
Cannot be drawn in quizlet

28. What type of slope do you have when m=? and the line is vertical?
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)
Y=x - identity function
undefined slope

29. What is another way to write f(x)=x - what type of function is this?
45 degree angle
up
Y=x - identity function
parabola - up one and right three

30. What does the absolute value function look like?
Cannot be drawn in quizlet
45 degree angle
Piecewise
A V

31. Draw or discuss an increasing function
Cannot be drawn in quizlet
even
only one
(-infinity - +infinity)

32. What is the formula for the standard cubic function?
A line passing through two distinct points
f(x)=x^3
x = the original sale price and the formula is x - .40x =$276
negative slope

33. What is a function?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - 0]U[0 - +infinity)
Piecewise
The single number y=

34. What is the formula for the cube root function?
Set the x and y to zero and get the intercepts and then plot the points
f(x)=3 square root x
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
The second set of components of an ordered pair

35. What are the calculator instructions for a standard quadratic equation?
The slope of a line containing two points
Y=x^2 - graph
(f+g) - (f-g) - (fg) - (f/g) all of x
45 degree angle

36. What is the range of an identity function?
Line ascending to the right gradually
2nd catalog (zero key -) abs(x) - graph
down
(-infinity - +infinity)

37. What is the range of the constant function?
negative inverse
f(x) = x
The single number y=
The opposite coordinates

38. What are the algebra of functions?
As many as you like
identity
Change in y / change in x = rise / run = y2-y1 / x2-x1
(f+g) - (f-g) - (fg) - (f/g) all of x

39. What is a relation?
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.
Any set of ordered pairs
(-infinity - 0]U[0 - +infinity)
inconsistant

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

41. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
f(x)=+c and f(x)-c
x is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)
Yes - all the domains points to one range

42. Is an absolute value function even - odd or neither?
(-infinity - +infinity)
even
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
down

43. Of the seven of algebra's common graph's how many are even?
x2-x1 because the demonaitor of a quotient can never equal zero
[0 -+infinity)
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)

44. What is an identity function?
because the demintor of a quotient can never equal zero
45 degree angle
f(x+c) and f(x-c)
Cannot be drawn in quizlet

45. What is the vertical line formula?
function notation
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
x=a
horizontal left

46. What is the range of the cube root function?
identity
Y=IxI
(-infinity - +infinity)
As equations

47. What is the domain for a standard quadratic function?
x^2
Piecewise
(-infinity - +infinity)
parabola

48. how many ranges can you have for each domain?
As many as you like
only one
The minimum or maximum points
Piecewise

49. What is the range of a square root function?
When does a graph not define y as a function of x?
[0 -+infinity)
undefined
x2-x1 because the demonaitor of a quotient can never equal zero

50. What is the point slope formula and when do you use it?
negative slope
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
f(x+h)-f(x)/h h cannot equal zero
in a quotient