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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?
The slope of a line containing two points
x = the original sale price and the formula is x - .40x =$276
The single number y=
Piecewise

2. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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
in a quotient
horizontal
Any set of ordered pairs

3. What is the domain for an absolute value function?
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)
(-infinity - 0]U[0 - +infinity)
identity

4. What is the slope intercept formula? Define all the variables.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
f(x^1)=f(x^2)
2nd catalog (zero key -) abs(x) - graph
x=a

5. What is the domain for a standard quadratic function?
(-infinity - +infinity)
f(x+h)-f(x)/h h cannot equal zero
Piecewise
2nd catalog (zero key -) abs(x) - graph

6. What is the range of the cube root function?
Cannot be drawn in quizlet
Y
perpendicular line
(-infinity - +infinity)

7. What is a constant function?
parabola
f(x)=x^3
f(x^1)=f(x^2)
zero slope

8. What points do you use to plot the inverse on a graph?
0<c<1 - horizontal stretching
Y
The opposite coordinates
x math 3 graph

9. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
As equations
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
x2-x1 because the demonaitor of a quotient can never equal zero

10. What is the range of the constant function?
The single number y=
odd
As equations
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

11. Which direction does f(x-c) move
negative slope
horizontal right
Any set of ordered pairs
The slope of a line containing two points

12. What is the horizontal line formula?
Y= then enter the number then press graph
45 degree angle
up
Y=b

13. What is the formula for an absolute value function?
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.
x = the original sale price and the formula is x - .40x =$276
f(x)=IxI
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

14. What type of function would you use to calculate the most advantageous cell phone plan?
The single number y=
Piecewise
The slope of a line containing two points
20+.05x=5+.10x x=minutes

15. $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?
The slope of a line containing two points
negative slope
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
Square Root

16. What are two examples of composit functions?
The first set of components of an ordered pair
f of g and g of f
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
horizontal left

17. Of the seven of algebra's common graph's how many are odd?
f(x)=+c and f(x)-c
Y=x - identity function
Three odd - cube root - identity - standard cubic
x2-x1 because the demonaitor of a quotient can never equal zero

18. How are functions normally written?
The first set of components of an ordered pair
Square Root
As equations
no because you cannot have one domain pointing at two y's or ranges

19. What does the square root function look like on a graph?
Conditional
Line ascending to the right gradually
Equation of a line
parraelle line

20. What equation does every line have? Discuss the variables.
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=10
As equations
postiive slope

21. A flat line underlining one vertical line is a symbol for
f(x)=x^3
perpendicular line
in a quotient
only one

22. Why can h not equal zero in the difference of a quotient function formula?
The first set of components of an ordered pair
A line passing through two distinct points
because the demintor of a quotient can never equal zero
same

23. What are the steps for solving a word problem?
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
Line ascending to the right gradually
(-infinity - +infinity)
The opposite coordinates

24. Is a constant function even - odd or neither?
even
(-infinity - +infinity)
because the demintor of a quotient can never equal zero
Y=10

25. What is the range for the standard cubic function?
(-infinity - +infinity)
Line ascending to the right gradually
Y=IxI
parabola

26. What is the domain of the cube root function?
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
m
inconsitent

27. What type of slope do you have when m=? and the line is vertical?
undefined slope
The second set of components of an ordered pair
horizontal right
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

28. What is slope?
horizontal left
A line passing through two distinct points
C>1 - horizontal shrinking
f(x) = x

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

30. What type of line is a constant function?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - +infinity)
horizontal
x2-x1 because the demonaitor of a quotient can never equal zero

31. What is the formula for the standard cubic function?
f(x)=x^3
20+.05x=5+.10x x=minutes
up
2nd key - x^2 - graph

32. What type of slope do vertical lines have?
(-infinity - +infinity)
Yes - all the domains points to one range
undefined
x^2

33. What are the algebra of functions?
f(x2)-f(x1) / x2-x1
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)
even

34. What type of slope do horizontal lines have?
same
negative inverse
A V
(-infinity - +infinity)

35. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
f(x+h)-f(x)/h h cannot equal zero
C>1 - horizontal shrinking
Square Root
x = the original sale price and the formula is x - .40x =$276

36. x= a real number is what type of equation?
(-infinity - +infinity)
undefined slope
A V
Conditional

37. What is the range of a square root function?
horizontal
neither
Cannot be drawn in quizlet
[0 -+infinity)

38. Is a standard quadratic function even - odd or neither?
Y= then enter the number then press graph
f(x)=+c and f(x)-c
even
(-infinity - +infinity)

39. What is an identity function?
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
45 degree angle
postiive slope
2nd catalog (zero key -) abs(x) - graph

40. what is the letter used to represent slope?
odd
m
f(x)=+c and f(x)-c
(-infinity - 0]U[0 - +infinity)

41. What does linear equation mean?
Approach neg toward x through zero and above positive close to x
zero slope
f of g and g of f
Equation of a line

42. What type of line is a constant function?
Absolute Value - Constant and Standard Quadratic
odd
horizontal
Yes because two x's or domains can point to one y

43. Draw or discuss an increasing function
Cannot be drawn in quizlet
(-infinity - +infinity)
Y= then enter the number then press graph
x^2

44. What are the calculator instructions for the standard cubic function?
(-infinity - 0]U[0 - +infinity)
x math 3 graph
Conditional
f(x+h)-f(x)/h h cannot equal zero

45. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
Yes because two x's or domains can point to one y
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x

46. Two vertical lines side by side are a symbol for what
x2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
parraelle line

47. Of the seven of algebra's common graph's how many are even?
function notation
f(x+c) and f(x-c)
Absolute Value - Constant and Standard Quadratic
f(x+h)-f(x)/h h cannot equal zero

48. What are the calculator instructions for the cube root function?
Y=b
Y=x - identity function
math 4 x - graph
The single number y=

49. how many ranges can you have for each domain?
inconsistant
only one
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.

50. What direction does f(x)-c move in standard absolute value formula?
only one
down
parraelle line
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

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CLEP College Algebra: Functions

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