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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. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
(-infinity - +infinity)
Yes - all the domains points to one range
parraelle line
Y= then enter the number then press graph

2. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
even
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
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
no because you cannot have one domain pointing at two y's or ranges

3. What is the slope intercept formula? Define all the variables.
2nd catalog (zero key -) abs(x) - graph
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The second set of components of an ordered pair
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

4. Standard absolute value - horizontal shift formulas for left and right
Yes - all the domains points to one range
Y=b
f(x+c) and f(x-c)
0<c<1 - horizontal stretching

5. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
f(x+h)-f(x)/h h cannot equal zero
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
in a quotient

6. What type of slope do vertical lines have?
Change in y / change in x = rise / run = y2-y1 / x2-x1
math 4 x - graph
undefined
f(x)=IxI

7. What are the four steps for solving a linear equation?
inconsitent
(-infinity - +infinity)
1 -2 -3
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.

8. What is the formula for an identity function?
up
f(x) = x
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
4 -6 -9

9. How are functions normally written?
2nd key - x^2 - graph
(f+g) - (f-g) - (fg) - (f/g) all of x
As equations
Approach neg toward x through zero and above positive close to x

10. x=all real numbers is what type of an equation?
identity
The slope of a line containing two points
neither
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

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

12. What is the formula in both horizontal stretching and horizontal shrinking?
x=a
only one
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)

13. What is the range for the standard cubic function?
4 -6 -9
Mirror image neg quadrant to that of the positive quandrant
horizontal right
(-infinity - +infinity)

14. What type of slope do you have when a line rises from left to right and m>0?
(f+g) - (f-g) - (fg) - (f/g) all of x
2nd key - x^2 - graph
postiive slope
negative slope

15. What is the formula for the square root function?
f(x+h)-f(x)/h h cannot equal zero
f(x)=suare root of x
Three odd - cube root - identity - standard cubic
45 degree angle

16. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
horizontal left
[0 -+infinity)

17. 4(x-7)=4x+28 is what type of an equation?
Piecewise
inconsitent
(-infinity - 0]U[0 - +infinity)
Y

18. What type of slope do you have when the line is horizontal and m=0?
x is the hours to repair the boat. $1603-532=anwser/63 = x
(-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
zero slope

19. What is the range of a square root function?
Mirror image neg quadrant to that of the positive quandrant
[0 -+infinity)
2nd catalog (zero key -) abs(x) - graph
up

20. When is the only time (-infinity - +infinity) is not the domain?
Line ascending to the right gradually
in a quotient
m
The secant line

21. 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?
Y=x - identity function
x is the hours to repair the boat. $1603-532=anwser/63 = x
horizontal left
45 degree angle

22. 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.
down
because the demintor of a quotient can never equal zero
parraelle line

23. What direction does f(x)-c move in standard absolute value formula?
down
Piecewise
x=a
The single number y=

24. What is another way of writing the absolute value function?
even
inconsitent
Y=IxI
The slope of a line containing two points

25. 4x+5x=8x is what type of an equation?
Y=IxI
A line passing through two distinct points
Change in y / change in x = rise / run = y2-y1 / x2-x1
Conditional

26. Which direction does f(x)=+c move in standard absolute value formula?
horizontal
Yes - all the domains points to one range
A V
up

27. What is the domain and range of a constant function?
(-infinity - +infinity)
identity
Yes because two x's or domains can point to one y
The slope of a line containing two points

28. What is the range of the cube root function?
When does a graph not define y as a function of x?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - +infinity)
negative inverse

29. what is a range?
math 4 x - graph
The second set of components of an ordered pair
Piecewise
Approach neg toward x through zero and above positive close to x

30. What is the vertical line formula?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
even
x=a

31. x= a real number is what type of equation?
even
Conditional
Three odd - cube root - identity - standard cubic
x=a

32. What is an identity function?
(-infinity - +infinity)
45 degree angle
identity
horizontal left

33. What is the domain of a square root function?
negative inverse
horizontal
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.
[0 -+infinity)

34. What is the slope of a perpendicular line?
The opposite coordinates
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
negative inverse
When does a graph not define y as a function of x?

35. Of the seven of algebra's common graph's how many are odd?
f(x)=+c and f(x)-c
(-infinity - 0]U[0 - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
Three odd - cube root - identity - standard cubic

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

37. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
negative slope
f(x)=3 square root x
down

38. What is another way to write f(x)=x - what type of function is this?
even
(-infinity - +infinity)
identity
Y=x - identity function

39. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
As equations
(-infinity - +infinity)
(-infinity - +infinity)

40. A flat line underlining one vertical line is a symbol for
perpendicular line
The single number y=
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)

41. What points do you use to plot the inverse on a graph?
The opposite coordinates
odd
The slope of a line containing two points
no because you cannot have one domain pointing at two y's or ranges

42. What are the calculator instructions for absolute value?
2nd key - x^2 - graph
2nd catalog (zero key -) abs(x) - graph
0<c<1 - horizontal stretching
f(x)=IxI

43. What is the domain for an absolute value function?
(-infinity - +infinity)
undefined
down
inconsitent

44. What is the point slope formula and when do you use it?
neither
inconsistant
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The opposite coordinates

45. Draw or discuss an increasing function
(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
f(x+c) and f(x-c)
Yes - all the domains points to one range

46. Is the standard cubic function odd - even or neither?
1 -2 -3
(-infinity - +infinity)
odd
math 4 x - graph

47. What is the horizontal line formula?
f(x)=+c and f(x)-c
Y=b
function notation
because the demintor of a quotient can never equal zero

48. What are two examples of composit functions?
f of g and g of f
x^2
even
C>1 - horizontal shrinking

49. What is a constant function?
Y= then enter the number then press graph
x2-x1 because the demonaitor of a quotient can never equal zero
inconsitent
f(x^1)=f(x^2)

50. In an identity function if f(10)=x than what is y?
20+.05x=5+.10x x=minutes
0<c<1 - horizontal stretching
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
Y=10