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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. What are the four steps for solving a linear equation?
[0 -+infinity)
odd
The secant 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.

2. What type of line is a constant function?
Cannot be drawn in quizlet
horizontal
f(x2)-f(x1) / x2-x1
(-infinity - +infinity)

3. What is the point slope formula and when do you use it?
The single number y=
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y=x - identity function
f(x^1)=f(x^2)

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

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5. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The slope of a line containing two points
2nd catalog (zero key -) abs(x) - graph

6. What is the range of the cube root function?
(-infinity - +infinity)
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.
zero slope

7. What is the average rate of change formula?
The opposite coordinates
horizontal
Y=10
f(x2)-f(x1) / x2-x1

8. What are the calculator instructions for a square root function?
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
2nd key - x^2 - graph
identity

9. What is the range of the constant function?
Cannot be drawn in quizlet
The single number y=
x is the hours to repair the boat. $1603-532=anwser/63 = x
m

10. What does the graph of the cube root function look like on the graph?
f(x+c) and f(x-c)
x = the original sale price and the formula is x - .40x =$276
Approach neg toward x through zero and above positive close to x
function notation

11. What is the domain and range of a constant function?
f(x)=+c and f(x)-c
45 degree angle
zero slope
(-infinity - +infinity)

12. Of the seven of algebra's common graph's how many are neither?
Square Root
As many as you like
inconsistant
A line passing through two distinct points

13. what is a range?
inconsitent
parraelle line
x math 3 graph
The second set of components of an ordered pair

14. What is the range for the standard cubic function?
(-infinity - +infinity)
f(x)=IxI
f(x)=x^3
Change in y / change in x = rise / run = y2-y1 / x2-x1

15. What is the formula in both horizontal stretching and horizontal shrinking?
Y=b
Y=x - identity function
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
x is the hours to repair the boat. $1603-532=anwser/63 = x

16. What is the vertical line formula?
x = the original sale price and the formula is x - .40x =$276
(-infinity - 0]U[0 - +infinity)
x=a
Cannot be drawn in quizlet

17. 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
The slope of a line containing two points
even
Y

18. What are the calculator instructions for the standard cubic function?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
2nd key - x^2 - graph
x math 3 graph
2nd catalog (zero key -) abs(x) - graph

19. Standard absolute value - horizontal shift formulas for left and right
(-infinity - +infinity)
x = the original sale price and the formula is x - .40x =$276
perpendicular line
f(x+c) and f(x-c)

20. Is a standard quadratic function even - odd or neither?
x math 3 graph
x^2
neither
even

21. Standard absolute value - vertical shift formulas for positve and negative
Cannot be drawn in quizlet
C>1 - horizontal shrinking
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
f(x)=+c and f(x)-c

22. What is the formula for to calculate the difference of a quotient function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
45 degree angle
f(x+h)-f(x)/h h cannot equal zero
Three odd - cube root - identity - standard cubic

23. What is the formula for an absolute value function?
Y=IxI
f(x)=IxI
Any set of ordered pairs
x = the original sale price and the formula is x - .40x =$276

24. 4(x-7)=4x+28 is what type of an equation?
in a quotient
The first set of components of an ordered pair
Y
inconsitent

25. What is the formula for the cube root function?
Mirror image neg quadrant to that of the positive quandrant
f(x+h)-f(x)/h h cannot equal zero
f(x)=3 square root x
perpendicular line

26. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Yes because two x's or domains can point to one y
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.
horizontal right

27. What is a domain?
[0 -+infinity)
no because you cannot have one domain pointing at two y's or ranges
The first set of components of an ordered pair
undefined slope

28. What does the absolute value function look like?
A V
undefined
Equation of a line
horizontal

29. Two vertical lines side by side are a symbol for what
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.
f(x)=x^3
f(x)=IxI
parraelle line

30. Is an identity function even - odd or neither?
odd
(-infinity - +infinity)
neither
The opposite coordinates

31. What is an identity function?
down
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
45 degree angle

32. What type of line is a constant function?
only one
Line ascending to the right gradually
x math 3 graph
horizontal

33. Draw or discuss an increasing function
The slope of a line containing two points
Three odd - cube root - identity - standard cubic
postiive slope
Cannot be drawn in quizlet

34. What is the formula for the standard cubic function?
f(x)=x^3
Cannot be drawn in quizlet
horizontal right
C>1 - horizontal shrinking

35. What does the square root function look like on a graph?
The slope of a line containing two points
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
inconsitent
Line ascending to the right gradually

36. Is the standard cubic function odd - even or neither?
parabola - up one and right three
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.
odd
Y=x - identity function

37. What is the range of an identity function?
(-infinity - +infinity)
Equation of a line
neither
undefined

38. What are the steps for solving a word problem?
negative slope
only one
x2-x1 because the demonaitor of a quotient can never equal zero
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

39. What is a relation?
[0 -+infinity)
horizontal
A V
Any set of ordered pairs

40. Is the square root function odd - even or neither?
neither
[0 -+infinity)
The single number y=
The second set of components of an ordered pair

41. y=f(cx) what does this formula represent?
identity
0<c<1 - horizontal stretching
(-infinity - +infinity)
negative inverse

42. 4x+5x=8x is what type of an equation?
The opposite coordinates
Conditional
The secant line
45 degree angle

43. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
[0 -+infinity)
x = the original sale price and the formula is x - .40x =$276
Three odd - cube root - identity - standard cubic
f(x)=+c and f(x)-c

44. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
Line ascending to the right gradually
in a quotient
f(x2)-f(x1) / x2-x1

45. In an identity function if f(10)=x than what is y?
x2-x1 because the demonaitor of a quotient can never equal zero
Y=10
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Equation of a line

46. What points do you use to plot the inverse on a graph?
The opposite coordinates
C>1 - horizontal shrinking
Any set of ordered pairs
(-infinity - +infinity)

47. What is the domain for the standard cubic function?
undefined slope
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)
horizontal right

48. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Piecewise
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

49. Which direction does f(x+c) move
Yes - all the domains points to one range
(-infinity - +infinity)
function notation
horizontal left

50. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
x2-x1 because the demonaitor of a quotient can never equal zero
x math 3 graph
neither
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040