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CLEP College Algebra: Functions

Instructions:

Answer 50 questions in 15 minutes.
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Match each statement with the correct term.
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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 formula for an absolute value 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
Y
f(x)=IxI
f(x)=+c and f(x)-c

2. What is the formula for an identity function?
f(x) = x
postiive slope
(-infinity - 0]U[0 - +infinity)
Yes - all the domains points to one range

3. What are the calculator instructions for the standard cubic function?
4 -6 -9
[0 -+infinity)
x math 3 graph
identity

4. What is the vertical line test?
Set the x and y to zero and get the intercepts and then plot the points
When does a graph not define y as a function of x?
f(x+c) and f(x-c)
(f+g) - (f-g) - (fg) - (f/g) all of x

5. What is the vertex?
The minimum or maximum points
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
parabola

6. What type of line is a constant function?
horizontal
postiive slope
even
Y=b

7. y=f(cx) what does this formula represent?
0<c<1 - horizontal stretching
(-infinity - +infinity)
because the demintor of a quotient can never equal zero
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

8. How are functions normally written?
horizontal
A line passing through two distinct points
(-infinity - +infinity)
As equations

9. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
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.
(-infinity - +infinity)
1 -2 -3

10. What does linear equation mean?
As many as you like
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.
4 -6 -9
Equation of a line

11. How do you calculate a constant function in your calculator?
even
Y= then enter the number then press graph
horizontal left
Three odd - cube root - identity - standard cubic

12. y=f(cx) - what does this formula represent?
only one
even
function notation
C>1 - horizontal shrinking

13. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
f of g and g of f
only one
inconsistant

14. What is the line called that illustrates the straight line between the two points when showing average rate of change?
parraelle line
The single number y=
The secant line
(-infinity - 0]U[0 - +infinity)

15. how many domains can you have pointing to one range?
When does a graph not define y as a function of x?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
in a quotient
As many as you like

16. Is an identity function even - odd or neither?
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.
because the demintor of a quotient can never equal zero
(-infinity - 0]U[0 - +infinity)
odd

17. x=all real numbers is what type of an equation?
The single number y=
identity
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
math 4 x - graph

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

19. What does the square root function look like on a graph?
Line ascending to the right gradually
When does a graph not define y as a function of x?
Y=10
Cannot be drawn in quizlet

20. What is the domain and range of a constant function?
negative slope
m
(-infinity - +infinity)
x = the original sale price and the formula is x - .40x =$276

21. 4(x-7)=4x-28 is what type of an equation?
Absolute Value - Constant and Standard Quadratic
[0 -+infinity)
identity
As many as you like

22. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
math 4 x - graph
The second set of components of an ordered pair
f(x+c) and f(x-c)

23. What is a domain?
The first set of components of an ordered pair
Y
(-infinity - +infinity)
Y=IxI

24. What equation does every line have? Discuss the variables.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
x = the original sale price and the formula is x - .40x =$276
x math 3 graph
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.

25. What type of slope do you have when m=? and the line is vertical?
undefined slope
f(x)=suare root of x
f(x+h)-f(x)/h h cannot equal zero
The slope of a line containing two points

26. What shape is the standard quadratic function?
[0 -+infinity)
Equation of a line
f(x)=x^3
parabola

27. Of the seven of algebra's common graph's how many are odd?
Yes because two x's or domains can point to one y
Three odd - cube root - identity - standard cubic
The second set of components of an ordered pair
2nd key - x^2 - graph

28. What is the domain for a standard quadratic function?
(-infinity - +infinity)
no because you cannot have one domain pointing at two y's or ranges
(f+g) - (f-g) - (fg) - (f/g) all of x
math 4 x - graph

29. What type of slope do you have when a line rises from left to right and m>0?
because the demintor of a quotient can never equal zero
postiive slope
2nd key - x^2 - graph
in a quotient

30. Is a standard quadratic function even - odd or neither?
identity
f(x)=suare root of x
even
Y=10

31. What is the range 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.
(-infinity - 0]U[0 - +infinity)
f(x)=suare root of x
C>1 - horizontal shrinking

32. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
f(x)=x^3
no because you cannot have one domain pointing at two y's or ranges
horizontal
20+.05x=5+.10x x=minutes

33. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
parabola
x^2
x2-x1 because the demonaitor of a quotient can never equal zero
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

34. What is the range for the standard cubic function?
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph
[0 -+infinity)
f(x)=+c and f(x)-c

35. What is the standard quadratic function?
The secant line
x^2
undefined slope
horizontal right

36. What type of line is a constant function?
x is the hours to repair the boat. $1603-532=anwser/63 = x
horizontal
The first set of components of an ordered pair
math 4 x - graph

37. x=no real numbers is what type of an equation?
The slope of a line containing two points
inconsistant
Square Root
Yes - all the domains points to one range

38. What type of slope do you have when a line falls left to right and m<0?
negative slope
parabola - up one and right three
f(x)=3 square root x
(-infinity - +infinity)

39. Of the seven of algebra's common graph's how many are neither?
x^2
Square Root
(-infinity - +infinity)
negative slope

40. $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?
Conditional
45 degree angle
Equation of a line
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

41. How would this formula move f(x)=(x+1)^2-3
Yes because two x's or domains can point to one y
function notation
parabola - up one and right three
f(x)=x^3

42. what is the letter used to represent slope?
in a quotient
up
Square Root
m

43. What is the horizontal line formula?
Y=b
postiive slope
f(x) = x
The minimum or maximum points

44. What is the formula for the cube root function?
f(x)=3 square root x
The single number y=
The opposite coordinates
Y=x - identity function

45. 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
Equation of a line
20+.05x=5+.10x x=minutes
because the demintor of a quotient can never equal zero

46. What is the formula in both horizontal stretching and horizontal shrinking?
negative slope
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
f(x)=3 square root x
even

47. what is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
identity
Conditional
down

48. 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?
x is the hours to repair the boat. $1603-532=anwser/63 = x
parabola
1 -2 -3
negative inverse

49. Of the seven of algebra's common graph's how many are even?
Three odd - cube root - identity - standard cubic
Absolute Value - Constant and Standard Quadratic
m
(-infinity - +infinity)

50. A flat line underlining one vertical line is a symbol for
perpendicular line
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=IxI
Yes - all the domains points to one range

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CLEP College Algebra: Functions

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