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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. What is a constant function?
f(x^1)=f(x^2)
As many as you like
undefined
Cannot be drawn in quizlet

2. what is the formula for slope?
Cannot be drawn in quizlet
Set the x and y to zero and get the intercepts and then plot the points
Change in y / change in x = rise / run = y2-y1 / x2-x1
perpendicular line

3. What type of line is a constant function?
horizontal
undefined
(-infinity - +infinity)
The minimum or maximum points

4. Standard absolute value - horizontal shift formulas for left and right
The second set of components of an ordered pair
Conditional
f(x+c) and f(x-c)
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.

5. What type of slope do you have when a line rises from left to right and m>0?
postiive slope
(-infinity - +infinity)
f(x)=suare root of x
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

6. What are the algebra of functions?
(-infinity - +infinity)
(-infinity - +infinity)
x=a
(f+g) - (f-g) - (fg) - (f/g) all of x

7. What is the domain and range of a constant function?
45 degree angle
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
in a quotient
(-infinity - +infinity)

8. What is the average rate of change formula?
f(x2)-f(x1) / x2-x1
horizontal
Absolute Value - Constant and Standard Quadratic
Set the x and y to zero and get the intercepts and then plot the points

9. What is the formula for an identity function?
20+.05x=5+.10x x=minutes
f(x)=x^3
f(x^1)=f(x^2)
f(x) = x

10. What is the range for the standard cubic function?
x2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - 0]U[0 - +infinity)
even
(-infinity - +infinity)

11. What type of slope do horizontal lines have?
same
Equation of a line
x is the hours to repair the boat. $1603-532=anwser/63 = x
A line passing through two distinct points

12. Draw or discuss a decreasing function
Cannot be drawn in quizlet
45 degree angle
even
f(x2)-f(x1) / x2-x1

13. What is slope?
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
Y=x^2 - graph
A line passing through two distinct points
The opposite coordinates

14. What are the calculator instructions for the cube root function?
even
math 4 x - graph
Equation of a line
up

15. how many ranges can you have for each domain?
only one
0<c<1 - horizontal stretching
f(x+c) and f(x-c)
Cannot be drawn in quizlet

16. What is the range of the cube root function?
postiive slope
parabola
Yes - all the domains points to one range
(-infinity - +infinity)

17. Of the seven of algebra's common graph's how many are odd?
f of g and g of f
Three odd - cube root - identity - standard cubic
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
only one

18. Of the seven of algebra's common graph's how many are neither?
Square Root
f of g and g of f
The second set of components of an ordered pair
Equation of a line

19. Draw or discuss a constant function
x math 3 graph
Y
Cannot be drawn in quizlet
A line passing through two distinct points

20. How do you graph Ax+By+C=0?
Line ascending to the right gradually
(-infinity - +infinity)
The secant line
Set the x and y to zero and get the intercepts and then plot the points

21. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
negative inverse
Any set of ordered pairs
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
neither

22. What is the domain of the cube root function?
x2-x1 because the demonaitor of a quotient can never equal zero
zero slope
in a quotient
(-infinity - +infinity)

23. What is the horizontal line formula?
same
Y=b
x is the hours to repair the boat. $1603-532=anwser/63 = x
down

24. A flat line underlining one vertical line is a symbol for
perpendicular line
The minimum or maximum points
Cannot be drawn in quizlet
f(x)=+c and f(x)-c

25. What are the four steps for finding the inverse of a function?
20+.05x=5+.10x x=minutes
(-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
When does a graph not define y as a function of x?

26. What are the calculator instructions for a standard quadratic equation?
f(x2)-f(x1) / x2-x1
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y=x^2 - graph
neither

27. What is the domain for an absolute value function?
f(x) = x
(-infinity - +infinity)
C>1 - horizontal shrinking
neither

28. What is the vertex?
(-infinity - +infinity)
The minimum or maximum points
same
[0 -+infinity)

29. What is the point slope formula and when do you use it?
f(x)=IxI
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
inconsistant
inconsitent

30. What type of line is a constant function?
horizontal
0<c<1 - horizontal stretching
f(x)=suare root of x
x is the hours to repair the boat. $1603-532=anwser/63 = x

31. What is another way to write f(x)=x - what type of function is this?
undefined slope
Line ascending to the right gradually
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Y=x - identity function

32. What type of slope do vertical lines have?
horizontal right
x=a
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
undefined

33. What does the graph of the cube root function look like on the graph?
even
f(x2)-f(x1) / x2-x1
Approach neg toward x through zero and above positive close to x
45 degree angle

34. How are functions normally written?
x2-x1 because the demonaitor of a quotient can never equal zero
Y=10
x is the hours to repair the boat. $1603-532=anwser/63 = x
As equations

35. 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
The single number y=
Y
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

36. When is the only time (-infinity - +infinity) is not the domain?
(-infinity - +infinity)
f(x)=3 square root x
[0 -+infinity)
in a quotient

37. What are the calculator instructions for the standard cubic function?
f of g and g of f
horizontal
x math 3 graph
undefined slope

38. y=f(cx) - what does this formula represent?
C>1 - horizontal shrinking
Square Root
As many as you like
Mirror image neg quadrant to that of the positive quandrant

39. Two vertical lines side by side are a symbol for what
45 degree angle
(-infinity - +infinity)
f(x+c) and f(x-c)
parraelle line

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

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41. What is an identity function?
Mirror image neg quadrant to that of the positive quandrant
45 degree angle
Approach neg toward x through zero and above positive close to x
4 -6 -9

42. What is a relation?
Y=10
identity
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.
Any set of ordered pairs

43. What is the domain of an identity function?
x=a
even
(-infinity - +infinity)
Yes - all the domains points to one range

44. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
negative slope
1 -2 -3
Yes - all the domains points to one range
Cannot be drawn in quizlet

45. What is the range of an identity function?
x math 3 graph
Y
(-infinity - +infinity)
negative slope

46. Of the seven of algebra's common graph's how many are even?
horizontal left
Absolute Value - Constant and Standard Quadratic
x = the original sale price and the formula is x - .40x =$276
The single number y=

47. what is a range?
no because you cannot have one domain pointing at two y's or ranges
The minimum or maximum points
The second set of components of an ordered pair
Cannot be drawn in quizlet

48. Which direction does f(x)=+c move in standard absolute value formula?
up
horizontal
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
f(x)=IxI

49. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
Y= then enter the number then press graph
f(x)=suare root of x
20+.05x=5+.10x x=minutes
only one

50. What is the vertical line formula?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
x=a
A line passing through two distinct points
The minimum or maximum points