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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. Of the seven of algebra's common graph's how many are odd?
Equation of a line
Approach neg toward x through zero and above positive close to x
x math 3 graph
Three odd - cube root - identity - standard cubic

2. How do you calculate a constant function in your calculator?
f(x+c) and f(x-c)
x is the hours to repair the boat. $1603-532=anwser/63 = x
Y= then enter the number then press graph
Piecewise

3. what is the formula for slope?
f of g and g of f
Change in y / change in x = rise / run = y2-y1 / x2-x1
perpendicular line
math 4 x - graph

4. What is the vertical line test?
undefined
Approach neg toward x through zero and above positive close to x
When does a graph not define y as a function of x?
because the demintor of a quotient can never equal zero

5. What are the calculator instructions for absolute value?
Cannot be drawn in quizlet
odd
2nd catalog (zero key -) abs(x) - graph
only one

6. What is the vertical line formula?
x=a
m
(-infinity - +infinity)
Cannot be drawn in quizlet

7. When is the only time (-infinity - +infinity) is not the domain?
When does a graph not define y as a function of x?
45 degree angle
in a quotient
f(x)=+c and f(x)-c

8. What are two examples of composit functions?
horizontal right
x^2
Change in y / change in x = rise / run = y2-y1 / x2-x1
f of g and g of f

9. y=f(cx) what does this formula represent?
Cannot be drawn in quizlet
even
0<c<1 - horizontal stretching
A V

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

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11. What is the domain for a standard quadratic function?
Y=x - identity function
(-infinity - +infinity)
x=a
negative slope

12. What is the formula in both horizontal stretching and horizontal shrinking?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Mirror image neg quadrant to that of the positive quandrant
x is the hours to repair the boat. $1603-532=anwser/63 = x
odd

13. how many ranges can you have for each domain?
f(x^1)=f(x^2)
only one
horizontal left
even

14. What is another way of writing the absolute value function?
Absolute Value - Constant and Standard Quadratic
horizontal
Y=IxI
(f+g) - (f-g) - (fg) - (f/g) all of x

15. What equation does every line have? Discuss the variables.
Line ascending to the right gradually
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
Approach neg toward x through zero and above positive close to x

16. Which direction does f(x)=+c move in standard absolute value formula?
As many as you like
f(x)=x^3
Yes because two x's or domains can point to one y
up

17. Is the square root function odd - even or neither?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
neither
(-infinity - +infinity)
(-infinity - +infinity)

18. What are the algebra of functions?
Set the x and y to zero and get the intercepts and then plot the points
(f+g) - (f-g) - (fg) - (f/g) all of x
The first set of components of an ordered pair
(-infinity - +infinity)

19. What is the horizontal line formula?
0<c<1 - horizontal stretching
Y=b
negative inverse
inconsistant

20. What is the standard quadratic function?
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.
x^2
parraelle line
identity

21. What is the range of the constant function?
parraelle line
(-infinity - +infinity)
The single number y=
A line passing through two distinct points

22. x=no real numbers is what type of an equation?
inconsistant
The second set of components of an ordered pair
Yes because two x's or domains can point to one y
f(x)=suare root of x

23. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
20+.05x=5+.10x x=minutes
(-infinity - 0]U[0 - +infinity)
Piecewise
1 -2 -3

24. What is the range of the cube root function?
x2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)
f of g and g of f

25. 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?
f(x)=+c and f(x)-c
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
Conditional
x is the hours to repair the boat. $1603-532=anwser/63 = x

26. What is a relation?
Any set of ordered pairs
f(x)=+c and f(x)-c
horizontal
function notation

27. 4x+5x=8x is what type of an equation?
Absolute Value - Constant and Standard Quadratic
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.
Conditional
x^2

28. What is the line called that illustrates the straight line between the two points when showing average rate of change?
(-infinity - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
The secant line
(-infinity - +infinity)

29. What type of line is an identity function?
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
45 degree angle
negative slope
zero slope

30. What is the domain of an identity function?
Cannot be drawn in quizlet
horizontal
(-infinity - +infinity)
The second set of components of an ordered pair

31. What is the range for an absolute value function?
The second set of components of an ordered pair
(-infinity - 0]U[0 - +infinity)
because the demintor of a quotient can never equal zero
f(x)=IxI

32. What points do you use to plot the inverse on a graph?
Yes because two x's or domains can point to one y
The opposite coordinates
Line ascending to the right gradually
parraelle line

33. What is the range for a standard quadratic function?
(-infinity - 0]U[0 - +infinity)
4 -6 -9
f(x)=x^3
1 -2 -3

34. What is the range of a square root function?
(-infinity - +infinity)
perpendicular line
odd
[0 -+infinity)

35. Is a standard quadratic function even - odd or neither?
even
negative slope
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
down

36. $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?
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
zero slope
A V
The first set of components of an ordered pair

37. How are functions normally written?
1 -2 -3
As equations
undefined
function notation

38. how many domains can you have pointing to one range?
As many as you like
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)
[0 -+infinity)

39. What is the vertex?
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
The minimum or maximum points
Set the x and y to zero and get the intercepts and then plot the points
The slope of a line containing two points

40. In an identity function if f(10)=x than what is y?
Y=10
As many as you like
C>1 - horizontal shrinking
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

41. Of the seven of algebra's common graph's how many are even?
x^2
f(x2)-f(x1) / x2-x1
Absolute Value - Constant and Standard Quadratic
Y=x^2 - graph

42. What does the standard cubic function look like on a graph?
odd
function notation
up
Mirror image neg quadrant to that of the positive quandrant

43. What type of slope do you have when m=? and the line is vertical?
f of g and g of f
undefined slope
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.
A line passing through two distinct points

44. What is the formula for the cube root function?
because the demintor of a quotient can never equal zero
neither
same
f(x)=3 square root x

45. What does the graph of the cube root function look like on the graph?
Approach neg toward x through zero and above positive close to x
Y=x^2 - graph
The single number y=
inconsitent

46. What is the domain and range of a constant function?
Piecewise
Y=b
(-infinity - +infinity)
45 degree angle

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

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48. What is the formula for the standard cubic function?
zero slope
f(x)=x^3
(-infinity - 0]U[0 - +infinity)
[0 -+infinity)

49. 4(x-7)=4x-28 is what type of an equation?
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
(-infinity - 0]U[0 - +infinity)
identity
(f+g) - (f-g) - (fg) - (f/g) all of x

50. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Absolute Value - Constant and Standard Quadratic
4 -6 -9
negative slope
parraelle line