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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 formula for an identity function?
f(x)=+c and f(x)-c
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)
f(x) = x

2. How are functions normally written?
x is the hours to repair the boat. $1603-532=anwser/63 = x
x=a
As equations
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.

3. Of the seven of algebra's common graph's how many are neither?
When does a graph not define y as a function of x?
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.
Square Root
The secant line

4. What is the domain and range of a constant function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
2nd key - x^2 - graph
f(x)=+c and f(x)-c

5. what is the letter used to represent slope?
m
Set the x and y to zero and get the intercepts and then plot the points
x^2
Cannot be drawn in quizlet

6. What equation does every line have? Discuss the variables.
identity
perpendicular line
Y=b
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.

7. What is the range for the standard cubic function?
inconsitent
[0 -+infinity)
(-infinity - +infinity)
Cannot be drawn in quizlet

8. What is the range for a standard quadratic function?
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)
parabola - up one and right three
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

9. What is the standard quadratic function?
x^2
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)
f(x)=x^3

10. Draw or discuss a constant function
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
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.
Cannot be drawn in quizlet
Approach neg toward x through zero and above positive close to x

11. $50 -000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6 -000. What is x and what is the formula?
2nd catalog (zero key -) abs(x) - graph
up
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
undefined

12. What is the formula for an absolute value function?
(-infinity - +infinity)
Y=10
2nd key - x^2 - graph
f(x)=IxI

13. what is the formula for slope?
horizontal left
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=x^2 - graph
Line ascending to the right gradually

14. When is the only time (-infinity - +infinity) is not the domain?
(-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
in a quotient
Y

15. Two vertical lines side by side are a symbol for what
x=a
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
parraelle line
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

16. What are the algebra of functions?
math 4 x - graph
parabola - up one and right three
(f+g) - (f-g) - (fg) - (f/g) all of x
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

17. What are the four steps for finding the inverse of a function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
2nd catalog (zero key -) abs(x) - graph
down
45 degree angle

18. how many ranges can you have for each domain?
Yes - all the domains points to one range
(-infinity - +infinity)
only one
When does a graph not define y as a function of x?

19. What is the range of the cube root function?
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
1 -2 -3
Change in y / change in x = rise / run = y2-y1 / x2-x1

20. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
up
x math 3 graph
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

21. What is the domain of a square root function?
The secant line
f(x)=3 square root x
[0 -+infinity)
horizontal left

22. What type of slope do you have when a line rises from left to right and m>0?
f(x)=x^3
postiive slope
f(x+c) and f(x-c)
Y

23. What type of function would you use to calculate the most advantageous cell phone plan?
Any set of ordered pairs
Piecewise
(-infinity - +infinity)
postiive slope

24. What is the formula for the standard cubic function?
Approach neg toward x through zero and above positive close to x
inconsistant
f(x)=x^3
(-infinity - +infinity)

25. What is the range of an identity function?
(-infinity - +infinity)
The secant line
Absolute Value - Constant and Standard Quadratic
A line passing through two distinct points

26. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
The minimum or maximum points
4 -6 -9
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y

27. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
The first set of components of an ordered pair
As many as you like
neither

28. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
x^2
1 -2 -3
The second set of components of an ordered pair
Any set of ordered pairs

29. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
Yes - all the domains points to one range
x = the original sale price and the formula is x - .40x =$276
Absolute Value - Constant and Standard Quadratic
45 degree angle

30. What is the slope intercept formula? Define all the variables.
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
negative slope
f(x2)-f(x1) / x2-x1

31. What is the formula in both horizontal stretching and horizontal shrinking?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
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
(-infinity - +infinity)

32. What does the absolute value function look like?
The secant line
A V
Y=b
f(x+c) and f(x-c)

33. What is the vertical line formula?
x=a
The second set of components of an ordered pair
20+.05x=5+.10x x=minutes
Equation of a line

34. Is a standard quadratic function even - odd or neither?
Approach neg toward x through zero and above positive close to x
Piecewise
(-infinity - +infinity)
even

35. What is an identity function?
45 degree angle
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
x = the original sale price and the formula is x - .40x =$276

36. What type of line is a constant function?
[0 -+infinity)
horizontal
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
identity

37. What are the calculator instructions for the cube root function?
horizontal
Any set of ordered pairs
math 4 x - graph
The minimum or maximum points

38. what is a range?
Y=IxI
The second set of components of an ordered pair
(-infinity - 0]U[0 - +infinity)
f(x2)-f(x1) / x2-x1

39. What is another way of writing the absolute value function?
Y=IxI
4 -6 -9
(-infinity - +infinity)
(-infinity - +infinity)

40. What is the range for an absolute value function?
because the demintor of a quotient can never equal zero
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
Yes - all the domains points to one range
(-infinity - 0]U[0 - +infinity)

41. What is the vertex?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
2nd catalog (zero key -) abs(x) - graph
horizontal
The minimum or maximum points

42. What is a constant function?
[0 -+infinity)
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
f(x^1)=f(x^2)
(-infinity - +infinity)

43. How do you calculate a constant function in your calculator?
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= then enter the number then press graph
f(x)=IxI
Yes because two x's or domains can point to one y

44. What is the horizontal line formula?
(-infinity - 0]U[0 - +infinity)
Y=b
As many as you like
Yes - all the domains points to one range

45. Is an absolute value function even - odd or neither?
up
(-infinity - +infinity)
even
Absolute Value - Constant and Standard Quadratic

46. What is the domain for a standard quadratic function?
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)
Piecewise
in a quotient

47. What type of slope do vertical lines have?
45 degree angle
(-infinity - 0]U[0 - +infinity)
in a quotient
undefined

48. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
Set the x and y to zero and get the intercepts and then plot the points
The minimum or maximum points
Y=b

49. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
f(x+h)-f(x)/h h cannot equal zero
20+.05x=5+.10x x=minutes
x^2
inconsitent

50. Which direction does f(x-c) move
undefined slope
1 -2 -3
Y=10
horizontal right