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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 range of the constant function?
The single number y=
postiive slope
x=a
x2-x1 because the demonaitor of a quotient can never equal zero

2. x= a real number is what type of equation?
even
Conditional
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.

3. Is the standard cubic function odd - even or neither?
f(x2)-f(x1) / x2-x1
f(x)=+c and f(x)-c
odd
even

4. What can we substitute for f(x)?
x math 3 graph
undefined slope
Y
even

5. What shape is the standard quadratic function?
undefined
Any set of ordered pairs
zero slope
parabola

6. What are the calculator instructions for a square root function?
odd
2nd key - x^2 - graph
Cannot be drawn in quizlet
Y=IxI

7. What are two examples of composit functions?
Approach neg toward x through zero and above positive close to x
Absolute Value - Constant and Standard Quadratic
f of g and g of f
f(x)=IxI

8. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
postiive slope
Change in y / change in x = rise / run = y2-y1 / x2-x1
[0 -+infinity)

9. What is the average rate of change formula?
Conditional
(-infinity - +infinity)
f(x2)-f(x1) / x2-x1
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

10. $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
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
A line passing through two distinct points

11. What is the range for an absolute value function?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
m
(-infinity - 0]U[0 - +infinity)
[0 -+infinity)

12. What type of slope do you have when a line rises from left to right and m>0?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
postiive slope
neither
Y= then enter the number then press graph

13. What is a domain?
The first set of components of an ordered pair
Square Root
20+.05x=5+.10x x=minutes
(-infinity - +infinity)

14. What is the slope of a perpendicular line?
down
horizontal
1 -2 -3
negative inverse

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

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16. What is a constant function?
Piecewise
x2-x1 because the demonaitor of a quotient can never equal zero
even
f(x^1)=f(x^2)

17. What is a function?
(-infinity - +infinity)
(-infinity - +infinity)
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
inconsistant

18. 4x+5x=8x is what type of an equation?
Approach neg toward x through zero and above positive close to x
because the demintor of a quotient can never equal zero
Conditional
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

19. Draw or discuss a constant function
because the demintor of a quotient can never equal zero
undefined slope
The minimum or maximum points
Cannot be drawn in quizlet

20. Which direction does f(x+c) move
[0 -+infinity)
x^2
horizontal left
A line passing through two distinct points

21. y=f(cx) - what does this formula represent?
even
A line passing through two distinct points
down
C>1 - horizontal shrinking

22. What are the calculator instructions for the cube root function?
Cannot be drawn in quizlet
math 4 x - graph
Conditional
The secant line

23. 4(x-7)=4x+28 is what type of an equation?
inconsitent
negative inverse
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.
The first set of components of an ordered pair

24. what can never equal zero in the slope formula and why?
x2-x1 because the demonaitor of a quotient can never equal zero
Y= then enter the number then press graph
(-infinity - +infinity)
(-infinity - +infinity)

25. What is the formula for the cube root function?
(-infinity - 0]U[0 - +infinity)
Cannot be drawn in quizlet
f(x)=3 square root x
Conditional

26. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
f(x)=IxI
up
45 degree angle

27. What is an identity function?
[0 -+infinity)
perpendicular line
45 degree angle
The secant line

28. What type of slope do horizontal lines have?
Absolute Value - Constant and Standard Quadratic
parabola
same
x2-x1 because the demonaitor of a quotient can never equal zero

29. What is a relation?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Any set of ordered pairs
Cannot be drawn in quizlet
f of g and g of f

30. What is the domain of a square root function?
Equation of a line
identity
[0 -+infinity)
Y

31. 4(x-7)=4x-28 is what type of an equation?
identity
inconsistant
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x

32. what is the letter used to represent slope?
horizontal
m
Y=b
up

33. Is the square root function odd - even or neither?
inconsistant
(f+g) - (f-g) - (fg) - (f/g) all of x
Set the x and y to zero and get the intercepts and then plot the points
neither

34. Which direction does f(x-c) move
[0 -+infinity)
horizontal right
Y=IxI
The single number y=

35. What is the slope intercept formula? Define all the variables.
(-infinity - 0]U[0 - +infinity)
horizontal
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=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

36. What type of slope do you have when the line is horizontal and m=0?
f(x+c) and f(x-c)
zero slope
x is the hours to repair the boat. $1603-532=anwser/63 = x
Y= then enter the number then press graph

37. How are functions normally written?
Yes - all the domains points to one range
perpendicular line
horizontal
As equations

38. What points do you use to plot the inverse on a graph?
f(x) = x
The opposite coordinates
same
Y=IxI

39. What does the absolute value function look like?
A V
As many as you like
horizontal
horizontal

40. How do you calculate a constant function in your calculator?
(-infinity - 0]U[0 - +infinity)
The slope of a line containing two points
Y= then enter the number then press graph
inconsistant

41. What equation does every line have? Discuss the variables.
Cannot be drawn in quizlet
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the 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.
perpendicular line

42. In an identity function if f(10)=x than what is y?
2nd catalog (zero key -) abs(x) - graph
Y=10
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - 0]U[0 - +infinity)

43. What type of line is an identity function?
(-infinity - +infinity)
no because you cannot have one domain pointing at two y's or ranges
45 degree angle
only one

44. Is a standard quadratic function even - odd or neither?
even
Y
m
Any set of ordered pairs

45. y=f(cx) what does this formula represent?
20+.05x=5+.10x x=minutes
Approach neg toward x through zero and above positive close to x
0<c<1 - horizontal stretching
even

46. Draw or discuss a decreasing function
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
45 degree angle
4 -6 -9
Cannot be drawn in quizlet

47. x=no real numbers is what type of an equation?
inconsistant
horizontal left
zero slope
Y=IxI

48. What type of slope do vertical lines have?
undefined
Piecewise
[0 -+infinity)
even

49. Which direction does f(x)=+c move in standard absolute value formula?
identity
function notation
up
Set the x and y to zero and get the intercepts and then plot the points

50. What is the domain and range of a constant function?
undefined slope
20+.05x=5+.10x x=minutes
x = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)

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CLEP College Algebra: Functions

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