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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 for a standard quadratic function?
odd
The slope of a line containing two points
(-infinity - 0]U[0 - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

2. What direction does f(x)-c move in standard absolute value formula?
[0 -+infinity)
f(x+c) and f(x-c)
odd
down

3. y=f(cx) what does this formula represent?
f(x)=x^3
The first set of components of an ordered pair
When does a graph not define y as a function of x?
0<c<1 - horizontal stretching

4. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
Cannot be drawn in quizlet
f(x)=+c and f(x)-c
The first set of components of an ordered pair

5. What is an identity function?
45 degree angle
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Approach neg toward x through zero and above positive close to x
postiive slope

6. What is the range of a square root function?
(-infinity - +infinity)
x^2
Equation of a line
[0 -+infinity)

7. What does the square root function look like on a graph?
f(x+c) and f(x-c)
perpendicular line
Line ascending to the right gradually
Y= then enter the number then press graph

8. What is the formula for an identity function?
f(x) = x
The second set of components of an ordered pair
m
A V

9. Which direction does f(x)=+c move in standard absolute value formula?
up
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(x+h)-f(x)/h h cannot equal zero
Y=IxI

10. how many ranges can you have for each domain?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
only one
[0 -+infinity)
even

11. What is the domain for a standard quadratic function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
identity
Line ascending to the right gradually
(-infinity - +infinity)

12. What are the calculator instructions for absolute value?
As many as you like
2nd catalog (zero key -) abs(x) - graph
parabola
(-infinity - +infinity)

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

14. What is the formula for an absolute value function?
horizontal left
Line ascending to the right gradually
f(x)=IxI
The slope of a line containing two points

15. What type of line is an identity function?
Any set of ordered pairs
45 degree angle
Change in y / change in x = rise / run = y2-y1 / x2-x1
f(x+c) and f(x-c)

16. What is the range of an identity function?
45 degree angle
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)
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.

17. What does the average rate of change formula solve?
f(x)=suare root of x
The slope of a line containing two points
(-infinity - +infinity)
Y=IxI

18. What is another way of writing the absolute value function?
f(x) = x
x = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)
Y=IxI

19. What shape is the standard quadratic function?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
parabola
(-infinity - +infinity)

20. What are the algebra of functions?
[0 -+infinity)
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+g) - (f-g) - (fg) - (f/g) all of x
x=a

21. Which direction does f(x+c) move
(-infinity - +infinity)
odd
horizontal left
Set the x and y to zero and get the intercepts and then plot the points

22. What type of line is a constant function?
horizontal
A V
Line ascending to the right gradually
The first set of components of an ordered pair

23. What is the slope of a perpendicular line?
in a quotient
negative inverse
(-infinity - +infinity)
Y=IxI

24. y=f(cx) - what does this formula represent?
(-infinity - +infinity)
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
The secant line
C>1 - horizontal shrinking

25. What is the range for an absolute value function?
parraelle line
f(x2)-f(x1) / x2-x1
The secant line
(-infinity - 0]U[0 - +infinity)

26. What is another way to write f(x)=x - what type of function is this?
odd
Y=x - identity function
even
x math 3 graph

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

28. What is the domain of the cube root function?
A line passing through two distinct points
(-infinity - +infinity)
parabola - up one and right three
(-infinity - 0]U[0 - +infinity)

29. What is the domain of an identity function?
Cannot be drawn in quizlet
Piecewise
(-infinity - +infinity)
f(x2)-f(x1) / x2-x1

30. What is the vertical line formula?
(-infinity - 0]U[0 - +infinity)
[0 -+infinity)
x=a
Y=x^2 - graph

31. What is a function?
(-infinity - 0]U[0 - +infinity)
even
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
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.

32. x=all real numbers is what type of an equation?
Line ascending to the right gradually
even
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
identity

33. What is the domain for the standard cubic function?
f(x)=+c and f(x)-c
The first set of components of an ordered pair
x math 3 graph
(-infinity - +infinity)

34. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
parabola
4 -6 -9
f(x^1)=f(x^2)
identity

35. What is the horizontal line formula?
Y=b
The minimum or maximum points
identity
As many as you like

36. Draw or discuss an increasing function
Cannot be drawn in quizlet
f of g and g of f
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
neither

37. Which direction does f(x-c) move
negative inverse
Absolute Value - Constant and Standard Quadratic
neither
horizontal right

38. What type of slope do vertical lines have?
f(x)=3 square root x
20+.05x=5+.10x x=minutes
undefined
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

39. Draw or discuss a decreasing function
[0 -+infinity)
Cannot be drawn in quizlet
20+.05x=5+.10x x=minutes
parraelle line

40. What type of line is a constant function?
The opposite coordinates
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
even
horizontal

41. What are the four steps for solving a linear equation?
The first set of components of an ordered pair
Conditional
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-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

42. What is the average rate of change formula?
same
f(x2)-f(x1) / x2-x1
f(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)

43. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
even
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.
Absolute Value - Constant and Standard Quadratic
Yes - all the domains points to one range

44. What type of slope do you have when a line rises from left to right and m>0?
postiive slope
f(x)=x^3
Square Root
f(x)=IxI

45. how many domains can you have pointing to one range?
As many as you like
up
same
The slope of a line containing two points

46. What is the range of the constant function?
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
The single number y=

47. What are two examples of composit functions?
function notation
negative inverse
f of g and g of f
x=a

48. What does the absolute value function look like?
When does a graph not define y as a function of x?
A V
Y= then enter the number then press graph
[0 -+infinity)

49. What does linear equation mean?
because the demintor of a quotient can never equal zero
up
Equation of a line
even

50. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Absolute Value - Constant and Standard Quadratic
only one
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
negative inverse