Test your basic knowledge |

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 type of function would you use to calculate the most advantageous cell phone plan?
even
1 -2 -3
same
Piecewise

2. What type of slope do you have when a line falls left to right and m<0?
negative slope
Mirror image neg quadrant to that of the positive quandrant
Cannot be drawn in quizlet
(-infinity - +infinity)

3. What is the formula for an identity function?
f(x) = x
The slope of a line containing two points
f(x+h)-f(x)/h h cannot equal zero
x=a

4. What are the algebra of functions?
f(x)=+c and f(x)-c
Y=b
(f+g) - (f-g) - (fg) - (f/g) all of x
Yes - all the domains points to one range

5. Is an identity function even - odd or neither?
x = the original sale price and the formula is x - .40x =$276
Mirror image neg quadrant to that of the positive quandrant
odd
Equation of a line

6. What are the calculator instructions for a square root function?
x^2
20+.05x=5+.10x x=minutes
2nd key - x^2 - graph
4 -6 -9

7. Why can h not equal zero in the difference of a quotient function formula?
C>1 - horizontal shrinking
f(x+h)-f(x)/h h cannot equal zero
because the demintor of a quotient can never equal zero
inconsistant

8. what is the letter used to represent slope?
f of g and g of f
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
m
2nd key - x^2 - graph

9. What type of line is an identity function?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
45 degree angle
horizontal
inconsistant

10. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Set the x and y to zero and get the intercepts and then plot the points
m
Cannot be drawn in quizlet
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

11. What are the four steps for finding the inverse of a function?
x=a
f(x)=x^3
45 degree angle
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

12. What is the formula for the standard cubic function?
no because you cannot have one domain pointing at two y's or ranges
undefined
f(x)=x^3
45 degree angle

13. What does linear equation mean?
[0 -+infinity)
f(x)=suare root of x
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Equation of a line

14. What is the range for a standard quadratic function?
Yes - all the domains points to one range
(-infinity - 0]U[0 - +infinity)
The slope of a line containing two points
(-infinity - +infinity)

15. What does the average rate of change formula solve?
The minimum or maximum points
Y=x^2 - graph
A line passing through two distinct points
The slope of a line containing two points

16. 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?
C>1 - horizontal shrinking
even
f(x^1)=f(x^2)
x is the hours to repair the boat. $1603-532=anwser/63 = x

17. What is the point slope formula and when do you use it?
Equation of a line
x=a
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
1 -2 -3

18. Which direction does f(x-c) move
only one
horizontal right
f(x)=IxI
f(x) = x

19. x= a real number is what type of equation?
Conditional
horizontal left
[0 -+infinity)
Yes because two x's or domains can point to one y

20. What is the domain of an identity function?
horizontal
0<c<1 - horizontal stretching
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant

21. What does the graph of the cube root function look like on the graph?
Approach neg toward x through zero and above positive close to x
no because you cannot have one domain pointing at two y's or ranges
45 degree angle
in a quotient

22. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)
When does a graph not define y as a function of x?

23. What does the standard cubic function look like on a graph?
Cannot be drawn in quizlet
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)

24. What type of slope do you have when m=? and the line is vertical?
undefined slope
45 degree angle
no because you cannot have one domain pointing at two y's or ranges
As many as you like

25. How do you graph Ax+By+C=0?
20+.05x=5+.10x x=minutes
Set the x and y to zero and get the intercepts and then plot the points
Absolute Value - Constant and Standard Quadratic
inconsistant

26. x=no real numbers is what type of an equation?
inconsistant
x2-x1 because the demonaitor of a quotient can never equal zero
2nd key - x^2 - graph
20+.05x=5+.10x x=minutes

27. Draw or discuss an increasing function
f(x) = x
f(x+h)-f(x)/h h cannot equal zero
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Cannot be drawn in quizlet

28. What is the formula for to calculate the difference of a quotient function?
up
f(x+h)-f(x)/h h cannot equal zero
negative slope
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

29. What type of slope do you have when the line is horizontal and m=0?
zero slope
f(x+c) and f(x-c)
As many as you like
Y=IxI

30. When is the only time (-infinity - +infinity) is not the domain?
in a quotient
even
A V
A line passing through two distinct points

31. What is the slope intercept formula? Define all the variables.
x=a
parabola
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
f of g and g of f

32. What points do you use to plot the inverse on a graph?
20+.05x=5+.10x x=minutes
The opposite coordinates
f(x) = x
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

33. Standard absolute value - horizontal shift formulas for left and right
f(x+c) and f(x-c)
0<c<1 - horizontal stretching
f(x) = x
even

34. What is the range of the constant function?
The single number y=
Change in y / change in x = rise / run = y2-y1 / x2-x1
2nd key - x^2 - graph
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

35. what is the formula for slope?
As many as you like
Change in y / change in x = rise / run = y2-y1 / x2-x1
f(x2)-f(x1) / x2-x1
identity

36. Is the standard cubic function odd - even or neither?
odd
45 degree angle
f(x+c) and f(x-c)
perpendicular line

37. y=f(cx) - what does this formula represent?
C>1 - horizontal shrinking
Y
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.
(-infinity - +infinity)

38. Of the seven of algebra's common graph's how many are even?
Square Root
Absolute Value - Constant and Standard Quadratic
The first set of components of an ordered pair
Yes - all the domains points to one range

39. Of the seven of algebra's common graph's how many are neither?
Square Root
x math 3 graph
parraelle line
function notation

40. Which direction does f(x)=+c move in standard absolute value formula?
f(x2)-f(x1) / x2-x1
up
(-infinity - +infinity)
undefined

41. What is an identity function?
zero slope
4 -6 -9
perpendicular line
45 degree angle

42. Draw or discuss a decreasing function
4 -6 -9
Cannot be drawn in quizlet
(f+g) - (f-g) - (fg) - (f/g) all of x
odd

43. How are functions normally written?
math 4 x - graph
negative slope
The first set of components of an ordered pair
As equations

44. What is the domain for the standard cubic function?
Cannot be drawn in quizlet
horizontal
identity
(-infinity - +infinity)

45. What is a function?
Set the x and y to zero and get the intercepts and then plot the points
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
horizontal
Piecewise

46. what can never equal zero in the slope formula and why?
x2-x1 because the demonaitor of a quotient can never equal zero
down
(-infinity - +infinity)
identity

47. what is a range?
x = the original sale price and the formula is x - .40x =$276
(-infinity - 0]U[0 - +infinity)
The second set of components of an ordered pair
parabola - up one and right three

48. What are two examples of composit functions?
parabola - up one and right three
f(x+c) and f(x-c)
A V
f of g and g of f

49. Is the square root function odd - even or neither?
x=a
no because you cannot have one domain pointing at two y's or ranges
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
neither

50. Which direction does f(x+c) move
The minimum or maximum points
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.
horizontal left
Y=x^2 - graph