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 does the square root function look like on a graph?
Line ascending to the right gradually
x = the original sale price and the formula is x - .40x =$276
Approach neg toward x through zero and above positive close to 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

2. Why can h not equal zero in the difference of a quotient function formula?
(-infinity - +infinity)
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)
because the demintor of a quotient can never equal zero

3. What is the line called that illustrates the straight line between the two points when showing average rate of change?
function notation
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
The secant line
Absolute Value - Constant and Standard Quadratic

4. Which direction does f(x-c) move
even
zero slope
horizontal right
Y= then enter the number then press graph

5. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
m
45 degree angle
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
f(x)=IxI

6. Standard absolute value - vertical shift formulas for positve and negative
Yes - all the domains points to one range
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)=+c and f(x)-c
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

7. 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
Conditional
undefined slope
The single number y=

8. What is the domain of a square root 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
f(x) = x
[0 -+infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

9. What is the range of the cube root function?
Yes - all the domains points to one range
parabola - up one and right three
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x

10. What does the standard cubic function look like on a graph?
f(x+h)-f(x)/h h cannot equal zero
Mirror image neg quadrant to that of the positive quandrant
only one
undefined

11. Draw or discuss a decreasing function
Piecewise
Conditional
Y=b
Cannot be drawn in quizlet

12. Of the seven of algebra's common graph's how many are even?
Change in y / change in x = rise / run = y2-y1 / x2-x1
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
Absolute Value - Constant and Standard Quadratic
x=a

13. Standard absolute value - horizontal shift formulas for left and right
Conditional
f(x+c) and f(x-c)
[0 -+infinity)
same

14. What is the range of the constant function?
The single number y=
because the demintor of a quotient can never equal zero
As many as you like
Yes - all the domains points to one range

15. What does the average rate of change formula solve?
perpendicular line
in a quotient
The slope of a line containing two points
(-infinity - +infinity)

16. What are the calculator instructions for the standard cubic function?
negative inverse
x math 3 graph
(-infinity - +infinity)
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

17. 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?
m
no because you cannot have one domain pointing at two y's or ranges
x is the hours to repair the boat. $1603-532=anwser/63 = x
20+.05x=5+.10x x=minutes

18. What is the domain for an absolute value function?
(-infinity - +infinity)
C>1 - horizontal shrinking
parraelle line
f(x)=x^3

19. What is the range of a square root function?
[0 -+infinity)
Any set of ordered pairs
Y= then enter the number then press graph
even

20. What is slope?
A line passing through two distinct points
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
Yes - all the domains points to one range
undefined

21. What are two examples of composit functions?
Conditional
Y=x - identity function
x is the hours to repair the boat. $1603-532=anwser/63 = x
f of g and g of f

22. What are the algebra of functions?
(-infinity - +infinity)
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
Yes because two x's or domains can point to one y

23. how many domains can you have pointing to one range?
C>1 - horizontal shrinking
in a quotient
As many as you like
parabola

24. Two vertical lines side by side are a symbol for what
Y=x - identity function
(-infinity - +infinity)
parraelle line
(-infinity - +infinity)

25. How do you calculate a constant function in your calculator?
horizontal
Y=x - identity function
Y= then enter the number then press graph
f(x+c) and f(x-c)

26. Which direction does f(x+c) move
f(x)=suare root of x
horizontal left
same
negative slope

27. What type of slope do vertical lines have?
zero slope
(-infinity - 0]U[0 - +infinity)
A line passing through two distinct points
undefined

28. What type of slope do you have when a line rises from left to right and m>0?
f(x+c) and f(x-c)
horizontal right
postiive slope
negative inverse

29. What is the standard quadratic function?
The first set of components of an ordered pair
x^2
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
math 4 x - graph

30. How are functions normally written?
(-infinity - +infinity)
As equations
[0 -+infinity)
(-infinity - +infinity)

31. What is the range for an absolute value function?
Line ascending to the right gradually
Conditional
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)

32. In an identity function if f(10)=x than what is y?
even
parabola
Y=10
inconsitent

33. What is an identity function?
neither
45 degree angle
even
The slope of a line containing two points

34. what is the letter used to represent slope?
m
The minimum or maximum points
even
As equations

35. $50 -000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6 -000. What is x and what is the formula?
odd
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
[0 -+infinity)
Y=x - identity function

36. How would this formula move f(x)=(x+1)^2-3
C>1 - horizontal shrinking
f(x)=3 square root x
parabola - up one and right three
(-infinity - 0]U[0 - +infinity)

37. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
Y=x - identity function
Piecewise
20+.05x=5+.10x x=minutes
2nd key - x^2 - graph

38. What is the domain of an identity function?
2nd catalog (zero key -) abs(x) - graph
Yes because two x's or domains can point to one y
(-infinity - +infinity)
Y= then enter the number then press graph

39. What is the domain for a standard quadratic function?
odd
undefined slope
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)

40. What is the vertical line test?
When does a graph not define y as a function of x?
horizontal right
(-infinity - 0]U[0 - +infinity)
Any set of ordered pairs

41. What is the formula for an identity function?
odd
Y=IxI
identity
f(x) = x

42. 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.
(-infinity - +infinity)
45 degree angle
The slope of a line containing two points

43. x=all real numbers is what type of an equation?
identity
math 4 x - graph
Cannot be drawn in quizlet
f(x+h)-f(x)/h h cannot equal zero

44. What type of slope do you have when the line is horizontal and m=0?
f(x)=x^3
only one
Cannot be drawn in quizlet
zero slope

45. What is the range for the standard cubic function?
Y= then enter the number then press graph
Y=x^2 - graph
(-infinity - +infinity)
Equation of a line

46. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
1 -2 -3
no because you cannot have one domain pointing at two y's or ranges
Y=b

47. x=no real numbers is what type of an equation?
math 4 x - graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
inconsistant
2nd key - x^2 - graph

48. Is a standard quadratic function even - odd or neither?
even
m
Y
up

49. f(x) = x^2+3x+5 - what type of formula is this?
f of g and g of f
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
function notation
Y=x^2 - graph

50. What type of slope do you have when a line falls left to right and m<0?
Three odd - cube root - identity - standard cubic
negative slope
(-infinity - +infinity)
horizontal