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 is the letter used to represent slope?
m
inconsitent
even
Y=b

2. What is a relation?
Y=b
Any set of ordered pairs
Square Root
A V

3. Two vertical lines side by side are a symbol for what
parraelle line
math 4 x - graph
Absolute Value - Constant and Standard Quadratic
f of g and g of f

4. 4x+5x=8x is what type of an equation?
odd
The slope of a line containing two points
x=a
Conditional

5. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
f(x+c) and f(x-c)
negative inverse
Yes - all the domains points to one range
Change in y / change in x = rise / run = y2-y1 / x2-x1

6. What is the slope intercept formula? Define all the variables.
odd
Cannot be drawn in quizlet
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
1 -2 -3

7. 4(x-7)=4x-28 is what type of an equation?
f of g and g of f
horizontal left
0<c<1 - horizontal stretching
identity

8. what is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)
parabola
f(x+c) and f(x-c)

9. What are two examples of composit functions?
odd
f of g and g of f
C>1 - horizontal shrinking
4 -6 -9

10. f(x) = x^2+3x+5 - what type of formula is this?
Piecewise
postiive slope
function notation
(-infinity - +infinity)

11. What is the formula for an identity function?
45 degree angle
f(x+c) and f(x-c)
(-infinity - +infinity)
f(x) = x

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

13. What is the formula in both horizontal stretching and horizontal shrinking?
[0 -+infinity)
Equation of a line
undefined
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

14. What type of line is an identity function?
45 degree angle
0<c<1 - horizontal stretching
down
Yes because two x's or domains can point to one y

15. What is the formula for the cube root function?
f(x)=3 square root x
function notation
f(x)=x^3
As equations

16. What does the square root function look like on a graph?
(-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
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
Line ascending to the right gradually

17. What is the formula for the square root function?
f(x) = x
f(x)=suare root of x
Equation of a line
The single number y=

18. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
Y
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
Three odd - cube root - identity - standard cubic

19. What are the four steps for solving a linear equation?
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.
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
parabola
(-infinity - +infinity)

20. What is the average rate of change formula?
The slope of a line containing two points
The second set of components of an ordered pair
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
f(x2)-f(x1) / x2-x1

21. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
undefined slope
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
Yes - all the domains points to one range
20+.05x=5+.10x x=minutes

22. What is the standard quadratic function?
Any set of ordered pairs
x^2
horizontal
f(x)=x^3

23. What is the domain of a square root function?
[0 -+infinity)
in a quotient
f(x)=suare root of x
f(x2)-f(x1) / x2-x1

24. What is a constant function?
f(x^1)=f(x^2)
parabola - up one and right three
negative inverse
Equation of a line

25. What type of slope do you have when a line falls left to right and m<0?
negative slope
Absolute Value - Constant and Standard Quadratic
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
f(x) = x

26. y=f(cx) what does this formula represent?
x math 3 graph
When does a graph not define y as a function of x?
odd
0<c<1 - horizontal stretching

27. Draw or discuss a decreasing function
Cannot be drawn in quizlet
[0 -+infinity)
f(x)=suare root of x
Set the x and y to zero and get the intercepts and then plot the points

28. What type of slope do you have when the line is horizontal and m=0?
zero slope
Y=IxI
2nd catalog (zero key -) abs(x) - graph
Y= then enter the number then press graph

29. Standard absolute value - vertical shift formulas for positve and negative
f(x)=+c and f(x)-c
A V
undefined
Y=x - identity function

30. Draw or discuss an increasing function
f of g and g of f
The minimum or maximum points
Cannot be drawn in quizlet
(-infinity - +infinity)

31. What is the domain and range of a constant function?
(-infinity - +infinity)
Y
As many as you like
Y=10

32. Is an identity function even - odd or neither?
x = the original sale price and the formula is x - .40x =$276
undefined slope
odd
(-infinity - +infinity)

33. What is the range of the constant function?
[0 -+infinity)
[0 -+infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The single number y=

34. What is the line called that illustrates the straight line between the two points when showing average rate of change?
odd
x2-x1 because the demonaitor of a quotient can never equal zero
odd
The secant line

35. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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
1 -2 -3
function notation

36. What is the formula for an absolute value function?
A line passing through two distinct points
f(x)=IxI
Y=x - identity function
down

37. What is another way to write f(x)=x - what type of function is this?
4 -6 -9
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
Y=x - identity function
odd

38. What are the calculator instructions for a square root function?
perpendicular line
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)
2nd key - x^2 - graph

39. Draw or discuss a constant function
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.
Cannot be drawn in quizlet
Square Root
odd

40. Which direction does f(x)=+c move in standard absolute value formula?
2nd key - x^2 - graph
f of g and g of f
f(x2)-f(x1) / x2-x1
up

41. Standard absolute value - horizontal shift formulas for left and right
Cannot be drawn in quizlet
The second set of components of an ordered pair
Three odd - cube root - identity - standard cubic
f(x+c) and f(x-c)

42. how many ranges can you have for each domain?
identity
f(x)=x^3
only one
1 -2 -3

43. Is the standard cubic function odd - even or neither?
Square Root
odd
f of g and g of f
20+.05x=5+.10x x=minutes

44. What is the domain of an identity function?
negative slope
(-infinity - +infinity)
Y=IxI
The first set of components of an ordered pair

45. what is a range?
negative inverse
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - 0]U[0 - +infinity)
The second set of components of an ordered pair

46. What does the average rate of change formula solve?
m
Y=b
The slope of a line containing two points
(-infinity - +infinity)

47. What points do you use to plot the inverse on a graph?
Line ascending to the right gradually
The opposite coordinates
Change in y / change in x = rise / run = y2-y1 / x2-x1
Mirror image neg quadrant to that of the positive quandrant

48. x= a real number is what type of equation?
(-infinity - +infinity)
45 degree angle
[0 -+infinity)
Conditional

49. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
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.
(-infinity - +infinity)
odd

50. Is a constant function even - odd or neither?
undefined
(f+g) - (f-g) - (fg) - (f/g) all of x
postiive slope
even