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. 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(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
odd
The slope of a line containing two points
x is the hours to repair the boat. $1603-532=anwser/63 = x

2. What is the slope of a perpendicular line?
(-infinity - 0]U[0 - +infinity)
negative inverse
(-infinity - +infinity)
When does a graph not define y as a function of x?

3. Which direction does f(x-c) move
Absolute Value - Constant and Standard Quadratic
horizontal right
f(x^1)=f(x^2)
negative slope

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

5. What is the vertex?
0<c<1 - horizontal stretching
The minimum or maximum points
The single number y=
Y= then enter the number then press graph

6. Why can h not equal zero in the difference of a quotient function formula?
A V
because the demintor of a quotient can never equal zero
Y
The secant line

7. What type of function would you use to calculate the most advantageous cell phone plan?
2nd catalog (zero key -) abs(x) - graph
Piecewise
f(x+h)-f(x)/h h cannot equal zero
Cannot be drawn in quizlet

8. how many domains can you have pointing to one range?
horizontal left
f(x+c) and f(x-c)
Any set of ordered pairs
As many as you like

9. What is the vertical line test?
even
When does a graph not define y as a function of x?
45 degree angle
up

10. x=no real numbers is what type of an equation?
inconsistant
A V
f of g and g of f
in a quotient

11. What are the calculator instructions for the standard cubic function?
Y=IxI
f(x+h)-f(x)/h h cannot equal zero
x math 3 graph
As many as you like

12. Is the square root function odd - even or neither?
undefined
zero slope
neither
f(x)=suare root of x

13. What is a domain?
m
Piecewise
The first set of components of an ordered pair
f(x2)-f(x1) / x2-x1

14. What are the calculator instructions for absolute value?
45 degree angle
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
2nd catalog (zero key -) abs(x) - graph

15. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
45 degree angle
horizontal
The single number y=

16. What is the range of the constant function?
f(x+c) and f(x-c)
horizontal right
function notation
The single number y=

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

18. Of the seven of algebra's common graph's how many are neither?
Square Root
m
zero slope
(f+g) - (f-g) - (fg) - (f/g) all of x

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

20. What is the standard quadratic function?
odd
x^2
negative slope
Equation of a line

21. What is the domain of an identity function?
even
(-infinity - +infinity)
identity
Y=b

22. What is the domain of a square root function?
Set the x and y to zero and get the intercepts and then plot the points
[0 -+infinity)
0<c<1 - horizontal stretching
Three odd - cube root - identity - standard cubic

23. What type of slope do you have when the line is horizontal and m=0?
zero slope
odd
The first set of components of an ordered pair
f(x+h)-f(x)/h h cannot equal zero

24. What is the range of an identity function?
The single number y=
Square Root
identity
(-infinity - +infinity)

25. How are functions normally written?
The opposite coordinates
f(x)=+c and f(x)-c
f(x+h)-f(x)/h h cannot equal zero
As equations

26. What type of slope do horizontal lines have?
inconsistant
The first set of components of an ordered pair
same
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

27. How would this formula move f(x)=(x+1)^2-3
(-infinity - +infinity)
Yes - all the domains points to one range
The minimum or maximum points
parabola - up one and right three

28. Two vertical lines side by side are a symbol for what
Any set of ordered pairs
inconsistant
parraelle line
horizontal

29. Draw or discuss a decreasing function
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
Cannot be drawn in quizlet
Line ascending to the right gradually
because the demintor of a quotient can never equal zero

30. y=f(cx) what does this formula represent?
f(x)=+c and f(x)-c
(-infinity - 0]U[0 - +infinity)
The slope of a line containing two points
0<c<1 - horizontal stretching

31. What are the steps for solving a word problem?
20+.05x=5+.10x x=minutes
(f+g) - (f-g) - (fg) - (f/g) all of x
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
(-infinity - +infinity)

32. A flat line underlining one vertical line is a symbol for
perpendicular line
2nd key - x^2 - graph
f(x)=3 square root x
(-infinity - +infinity)

33. What does the average rate of change formula solve?
x math 3 graph
The slope of a line containing two points
(-infinity - 0]U[0 - +infinity)
function notation

34. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Piecewise
no because you cannot have one domain pointing at two y's or ranges
The minimum or maximum points
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

35. When is the only time (-infinity - +infinity) is not the domain?
in a quotient
x^2
0<c<1 - horizontal stretching
horizontal left

36. What are the calculator instructions for a square root function?
horizontal
2nd key - x^2 - graph
(-infinity - 0]U[0 - +infinity)
negative slope

37. Draw or discuss a constant function
Cannot be drawn in quizlet
The second set of components of an ordered pair
Y=b
0<c<1 - horizontal stretching

38. What is the formula for the standard cubic function?
f(x)=x^3
The second set of components of an ordered pair
Equation of a line
The single number y=

39. Of the seven of algebra's common graph's how many are even?
The first set of components of an ordered pair
Conditional
Absolute Value - Constant and Standard Quadratic
As many as you like

40. What is the range for an absolute value function?
horizontal
same
(-infinity - 0]U[0 - +infinity)
up

41. 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
x=a
f(x+h)-f(x)/h h cannot equal zero
f(x)=suare root of x

42. What equation does every line have? Discuss the variables.
x=a
f(x2)-f(x1) / x2-x1
Y= then enter the number then press graph
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.

43. What is the range of a square root function?
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Line ascending to the right gradually
[0 -+infinity)

44. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
(-infinity - +infinity)
2nd key - x^2 - graph
Yes - all the domains points to one range
(f+g) - (f-g) - (fg) - (f/g) all of x

45. What type of line is an identity function?
same
Y
45 degree angle
Yes - all the domains points to one range

46. What is the range for the standard cubic function?
f(x)=suare root of x
(-infinity - +infinity)
C>1 - horizontal shrinking
identity

47. What is the formula for to calculate the difference of a quotient function?
f of g and g of f
f(x+h)-f(x)/h h cannot equal zero
Approach neg toward x through zero and above positive close to x
same

48. What is the domain of the cube root function?
(-infinity - +infinity)
down
Yes because two x's or domains can point to one y
0<c<1 - horizontal stretching

49. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
As equations
Y=b
f(x+h)-f(x)/h h cannot equal zero
x = the original sale price and the formula is x - .40x =$276

50. What is the domain for an absolute value function?
(-infinity - +infinity)
0<c<1 - horizontal stretching
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
perpendicular line