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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. how many ranges can you have for each domain?
only one
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.
f(x^1)=f(x^2)
The slope of a line containing two points

2. What is a constant function?
x=a
0<c<1 - horizontal stretching
f(x^1)=f(x^2)
45 degree angle

3. what is a range?
The second set of components of an ordered pair
2nd catalog (zero key -) abs(x) - graph
f(x2)-f(x1) / x2-x1
negative slope

4. What is the range of the cube root function?
down
Conditional
Y=10
(-infinity - +infinity)

5. What is the domain for the standard cubic function?
(-infinity - +infinity)
even
x^2
The single number y=

6. What is the formula for to calculate the difference of a quotient function?
horizontal
f(x+h)-f(x)/h h cannot equal zero
Y=IxI
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

7. What is the slope of a perpendicular line?
identity
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
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
negative inverse

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

9. What is the domain for a standard quadratic function?
negative inverse
undefined slope
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

10. Is a constant function even - odd or neither?
even
(-infinity - +infinity)
f(x+h)-f(x)/h h cannot equal zero
Square Root

11. 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?
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.
Set the x and y to zero and get the intercepts and then plot the points
x is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)

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

13. What type of line is a constant function?
horizontal
f of g and g of f
odd
Approach neg toward x through zero and above positive close to x

14. x=all real numbers is what type of an equation?
[0 -+infinity)
no because you cannot have one domain pointing at two y's or ranges
Three odd - cube root - identity - standard cubic
identity

15. how many domains can you have pointing to one range?
undefined slope
Any set of ordered pairs
As many as you like
f of g and g of f

16. What does the graph of the cube root function look like on the graph?
Any set of ordered pairs
Approach neg toward x through zero and above positive close to x
Line ascending to the right gradually
zero slope

17. Is a standard quadratic function even - odd or neither?
even
horizontal
Three odd - cube root - identity - standard cubic
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

18. What is the range of an identity function?
x^2
f(x) = x
f(x)=IxI
(-infinity - +infinity)

19. Is the square root function odd - even or neither?
neither
(-infinity - +infinity)
f of g and g of f
(-infinity - +infinity)

20. What does the absolute value function look like?
x is the hours to repair the boat. $1603-532=anwser/63 = x
The second set of components of an ordered pair
A V
f(x)=3 square root x

21. What is an identity function?
negative slope
45 degree angle
(-infinity - 0]U[0 - +infinity)
f(x+c) and f(x-c)

22. What is a relation?
math 4 x - graph
Any set of ordered pairs
odd
postiive slope

23. What type of slope do you have when a line falls left to right and m<0?
2nd catalog (zero key -) abs(x) - graph
negative slope
Cannot be drawn in quizlet
even

24. What does the square root function look like on a graph?
f(x2)-f(x1) / x2-x1
Line ascending to the right gradually
negative inverse
identity

25. What is the vertical line formula?
x=a
f(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)
Y=10

26. What does the average rate of change formula solve?
2nd catalog (zero key -) abs(x) - graph
m
Cannot be drawn in quizlet
The slope of a line containing two points

27. What is the formula for the cube root function?
f(x)=3 square root x
Line ascending to the right gradually
A V
undefined slope

28. What are the calculator instructions for a standard quadratic equation?
only one
2nd catalog (zero key -) abs(x) - graph
Y=x^2 - graph
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

29. Draw or discuss an increasing function
down
parabola - up one and right three
(-infinity - 0]U[0 - +infinity)
Cannot be drawn in quizlet

30. 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
Y=b
A V
C>1 - horizontal shrinking

31. What are the calculator instructions for absolute value?
Conditional
2nd catalog (zero key -) abs(x) - graph
(-infinity - 0]U[0 - +infinity)
x^2

32. What is the domain and range of a constant function?
A line passing through two distinct points
(-infinity - +infinity)
because the demintor of a quotient can never equal zero
Square Root

33. What equation does every line have? Discuss the variables.
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.
parabola
inconsistant
Line ascending to the right gradually

34. What shape is the standard quadratic function?
(-infinity - +infinity)
because the demintor of a quotient can never equal zero
parabola
down

35. Draw or discuss a constant function
(-infinity - +infinity)
Cannot be drawn in quizlet
even
in a quotient

36. Of the seven of algebra's common graph's how many are neither?
The second set of components of an ordered pair
Square Root
Cannot be drawn in quizlet
same

37. What is the range for an absolute value function?
C>1 - horizontal shrinking
f(x+c) and f(x-c)
(-infinity - 0]U[0 - +infinity)
As equations

38. Draw or discuss a decreasing function
Approach neg toward x through zero and above positive close to x
Square Root
Cannot be drawn in quizlet
function notation

39. f(x) = x^2+3x+5 - what type of formula is this?
zero slope
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph
function notation

40. Is the standard cubic function odd - even or neither?
C>1 - horizontal shrinking
odd
x is the hours to repair the boat. $1603-532=anwser/63 = x
f(x^1)=f(x^2)

41. What are the calculator instructions for a square root function?
Cannot be drawn in quizlet
(-infinity - +infinity)
2nd key - x^2 - graph
Y=IxI

42. How do you calculate a constant function in your calculator?
The secant line
odd
Y= then enter the number then press graph
identity

43. What is the domain of a square root function?
C>1 - horizontal shrinking
f(x)=3 square root x
x math 3 graph
[0 -+infinity)

44. How are functions normally written?
Y=b
Y=10
Line ascending to the right gradually
As equations

45. What type of slope do you have when the line is horizontal and m=0?
only one
zero slope
The opposite coordinates
(-infinity - 0]U[0 - +infinity)

46. What is the formula for the standard cubic function?
only one
f(x)=IxI
(f+g) - (f-g) - (fg) - (f/g) all of x
f(x)=x^3

47. What does the standard cubic function look like on a graph?
horizontal
odd
inconsistant
Mirror image neg quadrant to that of the positive quandrant

48. What type of line is a constant function?
horizontal right
horizontal
4 -6 -9
odd

49. What is the range for a standard quadratic function?
(-infinity - 0]U[0 - +infinity)
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)
up

50. What is the vertical line test?
When does a graph not define y as a function of x?
Yes - all the domains points to one range
horizontal
f(x+h)-f(x)/h h cannot equal zero