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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.
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. $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?
in a quotient
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
Absolute Value - Constant and Standard Quadratic
Piecewise

2. 4x+5x=8x is what type of an equation?
Conditional
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
horizontal right
undefined slope

3. What are the calculator instructions for the cube root function?
20+.05x=5+.10x x=minutes
horizontal
parabola - up one and right three
math 4 x - graph

4. What is the horizontal line formula?
Equation of a line
C>1 - horizontal shrinking
Y=b
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

5. What is the formula for an identity function?
f(x) = x
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
2nd key - x^2 - graph
The secant line

6. What type of line is a constant function?
horizontal
identity
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Yes because two x's or domains can point to one y

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

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8. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
4 -6 -9
Change in y / change in x = rise / run = y2-y1 / x2-x1
[0 -+infinity)

9. What does the average rate of change formula solve?
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 right
The slope of a line containing two points

10. What type of function would you use to calculate the most advantageous cell phone plan?
no because you cannot have one domain pointing at two y's or ranges
The single number y=
(-infinity - +infinity)
Piecewise

11. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
2nd key - x^2 - graph
Yes - all the domains points to one range
f(x)=IxI
x2-x1 because the demonaitor of a quotient can never equal zero

12. What is a function?
(-infinity - +infinity)
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - 0]U[0 - +infinity)
horizontal right

13. Of the seven of algebra's common graph's how many are odd?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Three odd - cube root - identity - standard cubic
A line passing through two distinct points
The first set of components of an ordered pair

14. What type of slope do you have when a line falls left to right and m<0?
negative slope
horizontal
horizontal
Conditional

15. What are the four steps for finding the inverse of a function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
parabola - up one and right three
because the demintor of a quotient can never equal zero
Cannot be drawn in quizlet

16. 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
Y=10
f(x+h)-f(x)/h h cannot equal zero
x2-x1 because the demonaitor of a quotient can never equal zero

17. What is the domain of a square root function?
odd
Conditional
Y= then enter the number then press graph
[0 -+infinity)

18. What shape is the standard quadratic function?
Y=10
odd
f(x^1)=f(x^2)
parabola

19. Draw or discuss a constant function
Cannot be drawn in quizlet
The secant line
Equation of a line
identity

20. What are the calculator instructions for the standard cubic function?
20+.05x=5+.10x x=minutes
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
x math 3 graph
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.

21. What is the vertical line formula?
Cannot be drawn in quizlet
horizontal left
inconsitent
x=a

22. How do you calculate a constant function in your calculator?
even
Cannot be drawn in quizlet
Y= then enter the number then press graph
Absolute Value - Constant and Standard Quadratic

23. y=f(cx) - what does this formula represent?
C>1 - horizontal shrinking
no because you cannot have one domain pointing at two y's or ranges
undefined slope
postiive slope

24. What is the formula for to calculate the difference of a quotient function?
f(x+h)-f(x)/h h cannot equal zero
Conditional
The secant line
Equation of a line

25. how many ranges can you have for each domain?
only one
Y
parabola
f(x+c) and f(x-c)

26. What 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.
f(x^1)=f(x^2)
A V
2nd key - x^2 - graph

27. What does linear equation mean?
f(x)=IxI
x is the hours to repair the boat. $1603-532=anwser/63 = x
Equation of a line
The first set of components of an ordered pair

28. x=all real numbers is what type of an equation?
identity
f(x)=suare root of x
Y
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

29. What type of slope do you have when m=? and the line is vertical?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
undefined slope
even
(-infinity - +infinity)

30. How would this formula move f(x)=(x+1)^2-3
45 degree angle
parabola - up one and right three
Y
Y=x - identity function

31. Is an identity function even - odd or neither?
Piecewise
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
A line passing through two distinct points
odd

32. Standard absolute value - vertical shift formulas for positve and negative
Y=b
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
f(x)=+c and f(x)-c

33. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
even
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
f of g and g of f

34. What is the range for a standard quadratic function?
x is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)
function notation

35. Standard absolute value - horizontal shift formulas for left and right
f(x+c) and f(x-c)
(-infinity - +infinity)
odd
no because you cannot have one domain pointing at two y's or ranges

36. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
undefined slope
1 -2 -3
A V
undefined

37. what is a range?
negative slope
Square Root
The second set of components of an ordered pair
parraelle line

38. Is the square root function odd - even or neither?
neither
Change in y / change in x = rise / run = y2-y1 / x2-x1
no because you cannot have one domain pointing at two y's or ranges
only one

39. What is the formula in both horizontal stretching and horizontal shrinking?
negative inverse
function notation
in a quotient
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

40. f(x) = x^2+3x+5 - what type of formula is this?
Cannot be drawn in quizlet
C>1 - horizontal shrinking
Conditional
function notation

41. Which direction does f(x)=+c move in standard absolute value formula?
Approach neg toward x through zero and above positive close to x
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
up
identity

42. What is the average rate of change formula?
negative slope
f(x2)-f(x1) / x2-x1
f(x)=suare root of x
When does a graph not define y as a function of x?

43. What is the range of the constant function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The single number y=
identity
function notation

44. What is the domain and range of a constant function?
(-infinity - +infinity)
f(x)=IxI
f(x+h)-f(x)/h h cannot equal zero
[0 -+infinity)

45. What is the formula for the standard cubic function?
(-infinity - +infinity)
Cannot be drawn in quizlet
f(x)=x^3
(-infinity - 0]U[0 - +infinity)

46. Is a constant function even - odd or neither?
horizontal left
Change in y / change in x = rise / run = y2-y1 / x2-x1
even
Cannot be drawn in quizlet

47. What does the absolute value function look like?
identity
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
A V
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.

48. Of the seven of algebra's common graph's how many are even?
Mirror image neg quadrant to that of the positive quandrant
inconsistant
down
Absolute Value - Constant and Standard Quadratic

49. What is the domain of an identity function?
(-infinity - +infinity)
x^2
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
A line passing through two distinct points

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

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CLEP College Algebra: Functions

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