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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 does linear equation mean?
identity
Equation of a line
odd
Any set of ordered pairs

2. How would this formula move f(x)=(x+1)^2-3
parabola - up one and right three
Y=10
perpendicular line
f(x)=+c and f(x)-c

3. what is the formula for slope?
Any set of ordered pairs
Change in y / change in x = rise / run = y2-y1 / x2-x1
As equations
undefined slope

4. Two vertical lines side by side are a symbol for what
undefined
parraelle line
As equations
When does a graph not define y as a function of x?

5. What is the domain of the cube root function?
m
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
inconsitent
(-infinity - +infinity)

6. What are the four steps for finding the inverse of a function?
identity
1 -2 -3
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
horizontal

7. What type of function would you use to calculate the most advantageous cell phone plan?
zero slope
f(x)=3 square root x
Piecewise
identity

8. How are functions normally written?
even
As equations
Y
Square Root

9. What are the calculator instructions for the cube root function?
inconsistant
Yes because two x's or domains can point to one y
math 4 x - graph
0<c<1 - horizontal stretching

10. 4(x-7)=4x+28 is what type of an equation?
math 4 x - graph
Y=b
Yes - all the domains points to one range
inconsitent

11. Why can h not equal zero in the difference of a quotient function formula?
Y=x^2 - graph
parabola - up one and right three
Cannot be drawn in quizlet
because the demintor of a quotient can never equal zero

12. What is the domain for the standard cubic function?
(-infinity - +infinity)
undefined
1 -2 -3
Conditional

13. What is the slope intercept formula? Define all the variables.
m
f(x)=x^3
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

14. What is the domain for an absolute value function?
(-infinity - +infinity)
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
even
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

15. What are the steps for solving a word problem?
math 4 x - graph
The first set of components of an ordered pair
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
parabola - up one and right three

16. What type of line is a constant function?
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
horizontal
The single number y=

17. What is the vertex?
x math 3 graph
neither
perpendicular line
The minimum or maximum points

18. What does the square root function look like on a graph?
f(x)=3 square root x
20+.05x=5+.10x x=minutes
Line ascending to the right gradually
The opposite coordinates

19. Which direction does f(x)=+c move in standard absolute value formula?
45 degree angle
even
Cannot be drawn in quizlet
up

20. What type of slope do horizontal lines have?
f(x)=x^3
The minimum or maximum points
Line ascending to the right gradually
same

21. What type of slope do vertical lines have?
undefined
x2-x1 because the demonaitor of a quotient can never equal zero
odd
As equations

22. What is the range of the constant function?
[0 -+infinity)
Y
The single number y=
down

23. What is another way of writing the absolute value function?
Y=IxI
The opposite coordinates
Piecewise
(-infinity - +infinity)

24. 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
Yes - all the domains points to one range
As equations
Cannot be drawn in quizlet

25. What is the horizontal line formula?
Y=b
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
A line passing through two distinct points
Y

26. A flat line underlining one vertical line is a symbol for
perpendicular line
Any set of ordered pairs
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)

27. What points do you use to plot the inverse on a graph?
The opposite coordinates
The slope of a line containing two points
identity
x=a

28. What does the average rate of change formula solve?
odd
f of g and g of f
The slope of a line containing two points
2nd catalog (zero key -) abs(x) - graph

29. What type of line is an identity function?
Square Root
m
45 degree angle
[0 -+infinity)

30. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Piecewise
20+.05x=5+.10x x=minutes
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
f(x^1)=f(x^2)

31. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Square Root
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The secant line
(-infinity - +infinity)

32. What is slope?
A line passing through two distinct points
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - 0]U[0 - +infinity)
Square Root

33. What is the range of a square root function?
x math 3 graph
f(x)=3 square root x
[0 -+infinity)
1 -2 -3

34. Is the standard cubic function odd - even or neither?
odd
(-infinity - +infinity)
Cannot be drawn in quizlet
Line ascending to the right gradually

35. What is the slope of a perpendicular line?
x=a
Approach neg toward x through zero and above positive close to x
f(x)=+c and f(x)-c
negative inverse

36. what is the letter used to represent slope?
The secant line
(-infinity - +infinity)
m
Equation of a line

37. What are the calculator instructions for a standard quadratic equation?
C>1 - horizontal shrinking
f(x+h)-f(x)/h h cannot equal zero
1 -2 -3
Y=x^2 - graph

38. What is the range for an absolute value function?
f(x)=+c and f(x)-c
(-infinity - 0]U[0 - +infinity)
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
undefined

39. What are the four steps for solving a linear equation?
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.
f(x^1)=f(x^2)
up

40. What is the vertical line test?
A V
same
When does a graph not define y as a function of x?
up

41. What is a relation?
f(x)=3 square root x
Any set of ordered pairs
Yes - all the domains points to one range
The slope of a line containing two points

42. What is the range for the standard cubic function?
parabola
The slope of a line containing two points
(-infinity - +infinity)
parabola - up one and right three

43. Which direction does f(x-c) move
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
horizontal
horizontal right
Y=b

44. x=all real numbers is what type of an equation?
The opposite coordinates
even
parraelle line
identity

45. What is the formula for an absolute value function?
f(x)=IxI
f of g and g of f
Y=IxI
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

46. What direction does f(x)-c move in standard absolute value formula?
down
45 degree angle
[0 -+infinity)
Conditional

47. Is an absolute value function even - odd or neither?
As equations
function notation
Y=10
even

48. Of the seven of algebra's common graph's how many are odd?
Y=10
Three odd - cube root - identity - standard cubic
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
As equations

49. When is the only time (-infinity - +infinity) is not the domain?
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - 0]U[0 - +infinity)
in a quotient
Any set of ordered pairs

50. Standard absolute value - vertical shift formulas for positve and negative
Approach neg toward x through zero and above positive close to x
f(x+h)-f(x)/h h cannot equal zero
f(x)=+c and f(x)-c
Y=x - identity function