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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 the domain for the standard cubic function?
Any set of ordered pairs
2nd key - x^2 - graph
(-infinity - +infinity)
inconsitent

2. What type of line is a constant function?
45 degree angle
odd
The opposite coordinates
horizontal

3. how many ranges can you have for each domain?
Y=IxI
neither
only one
(f+g) - (f-g) - (fg) - (f/g) all of x

4. What is the range of an identity function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1

5. What is the slope intercept formula? Define all the variables.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
because the demintor of a quotient can never equal zero
The first set of components of an ordered pair
x = the original sale price and the formula is x - .40x =$276

6. y=f(cx) - what does this formula represent?
f(x)=x^3
Y=IxI
only one
C>1 - horizontal shrinking

7. 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.
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
because the demintor of a quotient can never equal zero
identity

8. What are the calculator instructions for the standard cubic function?
45 degree angle
x math 3 graph
f(x)=3 square root x
f(x) = x

9. Is a constant function even - odd or neither?
odd
f(x)=+c and f(x)-c
C>1 - horizontal shrinking
even

10. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
20+.05x=5+.10x x=minutes
odd
Approach neg toward x through zero and above positive close to 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.

11. In an identity function if f(10)=x than what is y?
(-infinity - +infinity)
Y=10
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
parraelle line

12. 4x+5x=8x is what type of an equation?
Cannot be drawn in quizlet
(-infinity - +infinity)
f(x) = x
Conditional

13. What is a function?
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.
even
The minimum or maximum points

14. What does the average rate of change formula solve?
The slope of a line containing two points
f(x)=IxI
f(x+c) and f(x-c)
2nd key - x^2 - graph

15. y=f(cx) what does this formula represent?
0<c<1 - horizontal stretching
[0 -+infinity)
Y=IxI
C>1 - horizontal shrinking

16. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Conditional
Conditional
horizontal right
Yes - all the domains points to one range

17. What are two examples of composit functions?
Equation of a line
postiive slope
f(x) = x
f of g and g of f

18. How do you graph Ax+By+C=0?
horizontal
x^2
postiive slope
Set the x and y to zero and get the intercepts and then plot the points

19. What is the domain and range of a constant function?
Conditional
(-infinity - +infinity)
only one
f(x^1)=f(x^2)

20. what is the formula for slope?
x math 3 graph
Y=IxI
negative slope
Change in y / change in x = rise / run = y2-y1 / x2-x1

21. How would this formula move f(x)=(x+1)^2-3
Change in y / change in x = rise / run = y2-y1 / x2-x1
parabola - up one and right three
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Y= then enter the number then press graph

22. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
(-infinity - +infinity)
same
(-infinity - +infinity)

23. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
x2-x1 because the demonaitor of a quotient can never equal zero
Set the x and y to zero and get the intercepts and then plot the 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
same

24. 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?
4 -6 -9
A V
x is the hours to repair the boat. $1603-532=anwser/63 = x
zero slope

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

26. A flat line underlining one vertical line is a symbol for
f(x^1)=f(x^2)
perpendicular line
horizontal
Yes - all the domains points to one range

27. Of the seven of algebra's common graph's how many are neither?
45 degree angle
(-infinity - +infinity)
Square Root
Piecewise

28. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
even
45 degree angle
identity

29. Is an absolute value function even - odd or neither?
even
(-infinity - +infinity)
Cannot be drawn in quizlet
Y=10

30. Which direction does f(x-c) move
(-infinity - +infinity)
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.
A V
horizontal right

31. What is the domain of an identity function?
[0 -+infinity)
negative inverse
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

32. What is the formula for the square root function?
only one
The secant line
Cannot be drawn in quizlet
f(x)=suare root of x

33. What is a constant function?
horizontal left
Y=10
f(x^1)=f(x^2)
up

34. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
postiive slope
4 -6 -9
The single number y=
x is the hours to repair the boat. $1603-532=anwser/63 = x

35. What does linear equation mean?
Equation of a line
Piecewise
x=a
(-infinity - +infinity)

36. What type of slope do you have when m=? and the line is vertical?
The slope of a line containing two points
even
(-infinity - +infinity)
undefined slope

37. Draw or discuss a constant function
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
C>1 - horizontal shrinking
Cannot be drawn in quizlet
x is the hours to repair the boat. $1603-532=anwser/63 = x

38. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
(-infinity - 0]U[0 - +infinity)
horizontal
horizontal

39. What type of slope do you have when a line rises from left to right and m>0?
postiive slope
C>1 - horizontal shrinking
f(x+h)-f(x)/h h cannot equal zero
Y=10

40. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
because the demintor of a quotient can never equal zero
horizontal left
1 -2 -3

41. What shape is the standard quadratic function?
parabola
f(x)=3 square root x
Conditional
(f+g) - (f-g) - (fg) - (f/g) all of x

42. What points do you use to plot the inverse on a graph?
x = the original sale price and the formula is x - .40x =$276
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
The opposite coordinates
even

43. What type of line is an identity function?
45 degree angle
undefined
2nd catalog (zero key -) abs(x) - graph
horizontal

44. What is the vertical line test?
When does a graph not define y as a function of x?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
inconsistant
(-infinity - +infinity)

45. What does the graph of the cube root function look like on the graph?
Piecewise
f(x+c) and f(x-c)
20+.05x=5+.10x x=minutes
Approach neg toward x through zero and above positive close to x

46. Is the square root function odd - even or neither?
The opposite coordinates
neither
2nd key - x^2 - graph
Equation of a line

47. What does the square root function look like on a 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.
Line ascending to the right gradually
(-infinity - 0]U[0 - +infinity)
because the demintor of a quotient can never equal zero

48. Is an identity function even - odd or neither?
odd
inconsitent
As equations
x = the original sale price and the formula is x - .40x =$276

49. Two vertical lines side by side are a symbol for what
odd
parraelle line
f(x+c) and f(x-c)
(-infinity - 0]U[0 - +infinity)

50. Why can h not equal zero in the difference of a quotient function formula?
up
because the demintor of a quotient can never equal zero
Conditional
The single number y=