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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. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
x2-x1 because the demonaitor of a quotient can never equal zero
Yes - all the domains points to one range
1 -2 -3
only one

2. What is the vertical line test?
Y=x - identity function
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
negative inverse
When does a graph not define y as a function of x?

3. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Square Root
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
f(x)=x^3
Any set of ordered pairs

4. What is the standard quadratic function?
f(x+h)-f(x)/h h cannot equal zero
x^2
f(x+c) and f(x-c)
because the demintor of a quotient can never equal zero

5. What is the range for an absolute value function?
(-infinity - 0]U[0 - +infinity)
4 -6 -9
Y=IxI
Y

6. Why can h not equal zero in the difference of a quotient function formula?
f(x+h)-f(x)/h h cannot equal zero
f(x^1)=f(x^2)
Y
because the demintor of a quotient can never equal zero

7. what is the letter used to represent slope?
When does a graph not define y as a function of x?
even
horizontal
m

8. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
20+.05x=5+.10x x=minutes
f(x)=+c and f(x)-c
Y=b
0<c<1 - horizontal stretching

9. What type of function would you use to calculate the most advantageous cell phone plan?
(-infinity - +infinity)
x2-x1 because the demonaitor of a quotient can never equal zero
horizontal right
Piecewise

10. What is the domain of an identity function?
up
(-infinity - +infinity)
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

11. Is a standard quadratic function even - odd or neither?
even
Change in y / change in x = rise / run = y2-y1 / x2-x1
math 4 x - graph
Absolute Value - Constant and Standard Quadratic

12. A flat line underlining one vertical line is a symbol for
perpendicular line
Y=b
The minimum or maximum points
undefined slope

13. What does the standard cubic function look like on a graph?
A V
(-infinity - +infinity)
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant

14. What does the graph of the cube root function look like on the graph?
(-infinity - +infinity)
f(x)=+c and f(x)-c
Approach neg toward x through zero and above positive close to x
C>1 - horizontal shrinking

15. Is a constant function even - odd or neither?
Cannot be drawn in quizlet
parabola - up one and right three
even
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

16. what is the formula for slope?
Mirror image neg quadrant to that of the positive quandrant
Yes because two x's or domains can point to one y
Change in y / change in x = rise / run = y2-y1 / x2-x1
f(x) = x

17. What does the square root function look like on a graph?
parabola
Line ascending to the right gradually
f(x)=suare root of x
down

18. What is the domain and range of a constant function?
(-infinity - +infinity)
20+.05x=5+.10x x=minutes
Mirror image neg quadrant to that of the positive quandrant
neither

19. How are functions normally written?
The secant line
inconsistant
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
As equations

20. Is the standard cubic function odd - even or neither?
The first set of components of an ordered pair
odd
Piecewise
f(x+c) and f(x-c)

21. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
2nd key - x^2 - graph
odd
perpendicular line

22. Draw or discuss a constant function
inconsitent
f of g and g of f
Cannot be drawn in quizlet
down

23. What type of slope do you have when the line is horizontal and m=0?
zero slope
function notation
horizontal
The second set of components of an ordered pair

24. What is another way to write f(x)=x - what type of function is this?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
horizontal
Cannot be drawn in quizlet
Y=x - identity function

25. What is the vertex?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The minimum or maximum points
negative inverse
(-infinity - +infinity)

26. What is the slope of a perpendicular line?
(-infinity - +infinity)
negative inverse
45 degree angle
(-infinity - +infinity)

27. What is the range for a standard quadratic function?
x2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - 0]U[0 - +infinity)
Line ascending to the right gradually
inconsitent

28. What are the four steps for finding the inverse of a function?
function notation
x^2
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

29. Standard absolute value - horizontal shift formulas for left and right
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
even
zero slope
f(x+c) and f(x-c)

30. What is the domain for the standard cubic function?
perpendicular line
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)
m

31. Of the seven of algebra's common graph's how many are even?
identity
The single number y=
x2-x1 because the demonaitor of a quotient can never equal zero
Absolute Value - Constant and Standard Quadratic

32. What is the formula in both horizontal stretching and horizontal shrinking?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y= then enter the number then press graph
(-infinity - 0]U[0 - +infinity)
x math 3 graph

33. What is the point slope formula and when do you use it?
inconsitent
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
f(x)=3 square root x
[0 -+infinity)

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

35. What are the calculator instructions for a square root function?
perpendicular line
f(x)=+c and f(x)-c
Y=IxI
2nd key - x^2 - graph

36. What is a relation?
(-infinity - +infinity)
x=a
Any set of ordered pairs
f(x2)-f(x1) / x2-x1

37. What is the formula for the cube root function?
Y=b
Approach neg toward x through zero and above positive close to x
1 -2 -3
f(x)=3 square root x

38. What is the domain for a standard quadratic function?
C>1 - horizontal shrinking
even
(-infinity - +infinity)
Conditional

39. Of the seven of algebra's common graph's how many are neither?
(-infinity - +infinity)
x is the hours to repair the boat. $1603-532=anwser/63 = x
Square Root
inconsitent

40. What is the formula for an absolute value function?
Y=IxI
parabola - up one and right three
2nd key - x^2 - graph
f(x)=IxI

41. What does the average rate of change formula solve?
Set the x and y to zero and get the intercepts and then plot the points
in a quotient
Y=IxI
The slope of a line containing two points

42. What is the formula for the square root function?
f(x)=suare root of x
x math 3 graph
x=a
identity

43. What is the range for the standard cubic function?
Y=b
no because you cannot have one domain pointing at two y's or ranges
(-infinity - +infinity)
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

44. y=f(cx) what does this formula represent?
(-infinity - +infinity)
perpendicular line
0<c<1 - horizontal stretching
odd

45. What can we substitute for f(x)?
Y
Absolute Value - Constant and Standard Quadratic
even
Conditional

46. What type of slope do horizontal lines have?
same
f(x)=IxI
The single number y=
1 -2 -3

47. What are the algebra of functions?
even
f(x)=IxI
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(f+g) - (f-g) - (fg) - (f/g) all of x

48. x= a real number is what type of equation?
f of g and g of f
Conditional
parabola - up one and right three
A line passing through two distinct points

49. Is an identity function even - odd or neither?
x=a
horizontal
Y=b
odd

50. What direction does f(x)-c move in standard absolute value formula?
down
only one
inconsistant
Three odd - cube root - identity - standard cubic