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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. What is a function?
postiive slope
(-infinity - +infinity)
2nd key - x^2 - graph
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

2. What shape is the standard quadratic function?
(-infinity - +infinity)
45 degree angle
Approach neg toward x through zero and above positive close to x
parabola

3. What is the formula for an absolute value function?
Y=x - identity function
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
zero slope
f(x)=IxI

4. Two vertical lines side by side are a symbol for what
up
parraelle line
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

5. Standard absolute value - vertical shift formulas for positve and negative
horizontal left
When does a graph not define y as a function of x?
f(x)=+c and f(x)-c
2nd catalog (zero key -) abs(x) - graph

6. What points do you use to plot the inverse on a graph?
f(x+h)-f(x)/h h cannot equal zero
negative slope
f(x)=3 square root x
The opposite coordinates

7. Standard absolute value - horizontal shift formulas for left and right
f(x+c) and f(x-c)
As equations
postiive slope
20+.05x=5+.10x x=minutes

8. y=f(cx) - what does this formula represent?
C>1 - horizontal shrinking
(-infinity - +infinity)
odd
(-infinity - 0]U[0 - +infinity)

9. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
[0 -+infinity)
undefined
Y=10

10. how many ranges can you have for each domain?
Line ascending to the right gradually
only one
Conditional
(-infinity - +infinity)

11. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
(-infinity - +infinity)
4 -6 -9
Yes - all the domains points to one range
(-infinity - +infinity)

12. Draw or discuss a constant function
odd
Cannot be drawn in quizlet
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)

13. Which direction does f(x-c) move
horizontal right
f(x)=suare root of x
only one
[0 -+infinity)

14. What is a constant function?
f(x^1)=f(x^2)
Y= then enter the number then press graph
When does a graph not define y as a function of x?
The slope of a line containing two points

15. 4x+5x=8x is what type of an equation?
f(x)=+c and f(x)-c
As many as you like
only one
Conditional

16. What is slope?
undefined
perpendicular line
Yes - all the domains points to one range
A line passing through two distinct points

17. How are functions normally written?
As equations
20+.05x=5+.10x x=minutes
neither
(-infinity - +infinity)

18. What is the vertex?
2nd key - x^2 - graph
The minimum or maximum points
odd
Yes because two x's or domains can point to one y

19. x= a real number is what type of equation?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
neither
Set the x and y to zero and get the intercepts and then plot the points
Conditional

20. Is an absolute value function even - odd or neither?
(f+g) - (f-g) - (fg) - (f/g) all of x
The slope of a line containing two points
45 degree angle
even

21. What is the domain and range of a constant function?
(-infinity - +infinity)
The slope of a line containing two points
m
horizontal

22. What are the calculator instructions for the standard cubic function?
f(x)=+c and f(x)-c
Cannot be drawn in quizlet
x math 3 graph
[0 -+infinity)

23. x=no real numbers is what type of an equation?
(-infinity - +infinity)
The opposite coordinates
inconsistant
Y= then enter the number then press graph

24. What are two examples of composit functions?
(-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
f of g and g of f
horizontal left

25. What is the slope of a perpendicular line?
in a quotient
negative inverse
(-infinity - +infinity)
The opposite coordinates

26. What is the point slope formula and when do you use it?
A line passing through two distinct points
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
parabola - up one and right three
(-infinity - +infinity)

27. y^2+x=4 is this a function? Why?
The single number y=
negative slope
no because you cannot have one domain pointing at two y's or ranges
Y= then enter the number then press graph

28. What is the domain of the cube root function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
[0 -+infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)

29. What is the range of the cube root function?
(-infinity - +infinity)
Line ascending to the right gradually
Yes because two x's or domains can point to one y
identity

30. A flat line underlining one vertical line is a symbol for
perpendicular line
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.
f(x)=x^3
in a quotient

31. 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?
only one
x is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)
x^2

32. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
f(x+c) and f(x-c)
45 degree angle
f(x)=x^3
x = the original sale price and the formula is x - .40x =$276

33. what is the letter used to represent slope?
horizontal
down
m
Yes - all the domains points to one range

34. What is the range of an identity function?
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
(-infinity - +infinity)
Any set of ordered pairs
(f+g) - (f-g) - (fg) - (f/g) all of x

35. y=f(cx) what does this formula represent?
x2-x1 because the demonaitor of a quotient can never equal zero
45 degree angle
no because you cannot have one domain pointing at two y's or ranges
0<c<1 - horizontal stretching

36. What is the formula in both horizontal stretching and horizontal shrinking?
f(x)=3 square root x
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - 0]U[0 - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x

37. What are the calculator instructions for a square root function?
(-infinity - 0]U[0 - +infinity)
2nd key - x^2 - graph
x is the hours to repair the boat. $1603-532=anwser/63 = x
horizontal left

38. what can never equal zero in the slope formula and why?
Y= then enter the number then press graph
x2-x1 because the demonaitor of a quotient can never equal zero
Cannot be drawn in quizlet
parabola - up one and right three

39. What does the average rate of change formula solve?
(-infinity - +infinity)
The slope of a line containing two points
Cannot be drawn in quizlet
horizontal right

40. What are the four steps for solving a linear equation?
zero slope
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
(f+g) - (f-g) - (fg) - (f/g) all of x

41. What is the formula for to calculate the difference of a quotient function?
The opposite coordinates
Change in y / change in x = rise / run = y2-y1 / x2-x1
f(x+h)-f(x)/h h cannot equal zero
horizontal right

42. What is the range for an absolute value function?
same
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= then enter the number then press graph
(-infinity - 0]U[0 - +infinity)

43. What does the graph of the cube root function look like on the graph?
f(x)=3 square root x
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Approach neg toward x through zero and above positive close to x
Cannot be drawn in quizlet

44. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Cannot be drawn in quizlet
math 4 x - graph
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
45 degree angle

45. how many domains can you have pointing to one range?
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.
Any set of ordered pairs
As many as you like
odd

46. What is the range of a square root function?
horizontal
f(x)=x^3
f(x)=suare root of x
[0 -+infinity)

47. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Yes - all the domains points to one range
The secant line
x is the hours to repair the boat. $1603-532=anwser/63 = x
in a quotient

48. When is the only time (-infinity - +infinity) is not the domain?
As many as you like
even
in a quotient
Approach neg toward x through zero and above positive close to x

49. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
[0 -+infinity)
x is the hours to repair the boat. $1603-532=anwser/63 = x
The opposite coordinates
1 -2 -3

50. Is the standard cubic function odd - even or neither?
odd
4 -6 -9
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.
Absolute Value - Constant and Standard Quadratic

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CLEP College Algebra: Functions

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