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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. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
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.
20+.05x=5+.10x x=minutes
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
odd

2. what is a range?
even
45 degree angle
20+.05x=5+.10x x=minutes
The second set of components of an ordered pair

3. What type of slope do you have when the line is horizontal and m=0?
Y=10
negative slope
20+.05x=5+.10x x=minutes
zero slope

4. Is a standard quadratic function even - odd or neither?
even
(-infinity - +infinity)
f(x)=IxI
f(x)=+c and f(x)-c

5. What does the absolute value function look like?
A V
horizontal right
up
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.

6. What is the domain and range of a constant function?
(-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
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
f(x+h)-f(x)/h h cannot equal zero

7. What is the range of the constant function?
The single number y=
Mirror image neg quadrant to that of the positive quandrant
undefined
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

8. What are the calculator instructions for a square root function?
Y=x - identity function
2nd key - x^2 - graph
math 4 x - graph
x^2

9. What is the domain of the cube root function?
undefined slope
Set the x and y to zero and get the intercepts and then plot the points
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)

10. What is another way to write f(x)=x - what type of function is this?
1 -2 -3
f(x2)-f(x1) / x2-x1
Y=x - identity function
A line passing through two distinct points

11. What is a domain?
undefined
The first set of components of an ordered pair
The minimum or maximum points
(-infinity - +infinity)

12. x=no real numbers is what type of an equation?
no because you cannot have one domain pointing at two y's or ranges
inconsistant
inconsitent
odd

13. What type of slope do you have when a line falls left to right and m<0?
Absolute Value - Constant and Standard Quadratic
inconsitent
because the demintor of a quotient can never equal zero
negative slope

14. y=f(cx) what does this formula represent?
0<c<1 - horizontal stretching
same
Piecewise
horizontal

15. Is an absolute value function even - odd or neither?
(-infinity - +infinity)
(-infinity - +infinity)
even
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

16. What type of slope do you have when a line rises from left to right and m>0?
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
up
postiive slope
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

17. What type of line is a constant function?
f(x+c) and f(x-c)
up
horizontal
f(x)=suare root of x

18. What is the formula in both horizontal stretching and horizontal shrinking?
m
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y=x^2 - graph
Conditional

19. What is the range of a square root function?
Y=IxI
[0 -+infinity)
function notation
20+.05x=5+.10x x=minutes

20. When is the only time (-infinity - +infinity) is not the domain?
Y=IxI
in a quotient
The opposite coordinates
because the demintor of a quotient can never equal zero

21. What does the average rate of change formula solve?
The slope of a line containing two 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
(f+g) - (f-g) - (fg) - (f/g) all of x
[0 -+infinity)

22. how many ranges can you have for each domain?
Any set of ordered pairs
only one
2nd catalog (zero key -) abs(x) - graph
inconsitent

23. What is slope?
in a quotient
inconsistant
A line passing through two distinct points
negative slope

24. x= a real number is what type of equation?
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
Conditional
The secant line
f(x)=3 square root x

25. What type of slope do vertical lines have?
undefined
Any set of ordered pairs
20+.05x=5+.10x x=minutes
horizontal right

26. What is the domain of an identity function?
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
Three odd - cube root - identity - standard cubic
Conditional

27. What is the formula for the square root function?
f(x)=suare root of x
When does a graph not define y as a function of x?
Y=x^2 - graph
only one

28. 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?
x is the hours to repair the boat. $1603-532=anwser/63 = x
identity
undefined slope
2nd key - x^2 - graph

29. Which direction does f(x)=+c move in standard absolute value formula?
4 -6 -9
up
negative slope
x=a

30. What is the slope of a perpendicular line?
(-infinity - +infinity)
A line passing through two distinct points
negative inverse
1 -2 -3

31. What is the range of an identity function?
f(x)=3 square root x
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)
m

32. What is the range of the cube root function?
even
identity
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)

33. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
horizontal
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
identity

34. What are the algebra of functions?
The first set of components of an ordered pair
even
(f+g) - (f-g) - (fg) - (f/g) all of x
Three odd - cube root - identity - standard cubic

35. Draw or discuss an increasing function
Conditional
Cannot be drawn in quizlet
Mirror image neg quadrant to that of the positive quandrant
inconsitent

36. A flat line underlining one vertical line is a symbol for
Three odd - cube root - identity - standard cubic
C>1 - horizontal shrinking
Cannot be drawn in quizlet
perpendicular line

37. What is a constant function?
f(x^1)=f(x^2)
(-infinity - +infinity)
undefined
Y= then enter the number then press graph

38. What is the formula for an identity function?
f(x) = x
in a quotient
The opposite coordinates
The slope of a line containing two points

39. What are the calculator instructions for the cube root function?
math 4 x - graph
2nd key - x^2 - graph
[0 -+infinity)
Approach neg toward x through zero and above positive close to x

40. What are two examples of composit functions?
f(x)=+c and f(x)-c
f of g and g of f
up
Square Root

41. 4(x-7)=4x+28 is what type of an equation?
Y=x^2 - graph
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
inconsitent

42. Draw or discuss a decreasing function
no because you cannot have one domain pointing at two y's or ranges
function notation
Cannot be drawn in quizlet
odd

43. What is the domain for the standard cubic function?
(-infinity - +infinity)
Cannot be drawn in quizlet
odd
even

44. What is a relation?
f(x^1)=f(x^2)
Cannot be drawn in quizlet
The minimum or maximum points
Any set of ordered pairs

45. Two vertical lines side by side are a symbol for what
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y=10
parraelle line
(-infinity - +infinity)

46. What type of line is an identity function?
x^2
45 degree angle
Any set of ordered pairs
Y=10

47. What is the average rate of change formula?
parabola - up one and right three
f(x2)-f(x1) / x2-x1
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
45 degree angle

48. What is another way of writing the absolute value function?
horizontal left
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y=IxI
even

49. what is the letter used to represent slope?
The secant line
function notation
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
m

50. What type of line is 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.
(-infinity - +infinity)
Yes - all the domains points to one range
horizontal