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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 do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
Y=IxI
Any set of ordered pairs
Yes - all the domains points to one range

2. What type of slope do vertical lines have?
(-infinity - +infinity)
[0 -+infinity)
math 4 x - graph
undefined

3. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
A line passing through two distinct points
even
20+.05x=5+.10x x=minutes
Yes - all the domains points to one range

4. how many ranges can you have for each domain?
inconsitent
only one
As many as you like
parabola

5. What is the domain of the cube root function?
(-infinity - +infinity)
f(x+h)-f(x)/h h cannot equal zero
The secant line
horizontal

6. What is the formula for the square root function?
Y= then enter the number then press graph
(-infinity - +infinity)
f(x+h)-f(x)/h h cannot equal zero
f(x)=suare root of x

7. What is the slope intercept formula? Define all the variables.
negative slope
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the 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
horizontal

8. Is a standard quadratic function even - odd or neither?
parabola
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
even
x^2

9. What type of line is a constant function?
horizontal
Y
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
45 degree angle

10. How are functions normally written?
Y
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.
As equations
Y=10

11. What is the domain of a square root function?
45 degree angle
math 4 x - graph
same
[0 -+infinity)

12. Draw or discuss an increasing function
Y=x^2 - graph
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Cannot be drawn in quizlet
horizontal

13. How would this formula move f(x)=(x+1)^2-3
perpendicular line
parabola - up one and right three
(-infinity - +infinity)
x=a

14. What is the range of an identity function?
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)
2nd key - x^2 - graph
Conditional

15. Draw or discuss a constant function
f(x^1)=f(x^2)
Cannot be drawn in quizlet
even
The minimum or maximum points

16. 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
The opposite coordinates
f(x2)-f(x1) / x2-x1
horizontal

17. What is the slope of a perpendicular line?
The single number y=
[0 -+infinity)
negative inverse
f(x)=IxI

18. What is the standard quadratic function?
Cannot be drawn in quizlet
x^2
Three odd - cube root - identity - standard cubic
negative inverse

19. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Change in y / change in x = rise / run = y2-y1 / x2-x1
20+.05x=5+.10x x=minutes

20. x=no real numbers is what type of an equation?
A line passing through two distinct points
Cannot be drawn in quizlet
inconsistant
[0 -+infinity)

21. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
Y=x - identity function
in a quotient
Set the x and y to zero and get the intercepts and then plot the points

22. 4(x-7)=4x-28 is what type of an equation?
Yes because two x's or domains can point to one y
identity
down
m

23. Draw or discuss a decreasing function
2nd key - x^2 - graph
identity
undefined slope
Cannot be drawn in quizlet

24. What is the average rate of change formula?
in a quotient
f(x2)-f(x1) / x2-x1
only one
m

25. What is the formula for the cube root function?
f of g and g of f
f(x)=3 square root x
f(x)=IxI
The minimum or maximum points

26. What is the formula for to calculate the difference of a quotient function?
(-infinity - +infinity)
Conditional
f(x+h)-f(x)/h h cannot equal zero
math 4 x - graph

27. what is the formula for slope?
parabola
Change in y / change in x = rise / run = y2-y1 / x2-x1
f(x^1)=f(x^2)
f(x+c) and f(x-c)

28. Which direction does f(x)=+c move in standard absolute value formula?
up
x math 3 graph
function notation
f of g and g of f

29. What does the square root function look like on a graph?
Line ascending to the right gradually
[0 -+infinity)
0<c<1 - horizontal stretching
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

30. Is a constant function even - odd or neither?
f(x)=+c and f(x)-c
Cannot be drawn in quizlet
Conditional
even

31. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Y=IxI
(-infinity - +infinity)
The first set of components of an ordered pair
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

32. What is the domain for the standard cubic function?
The second set of components of an ordered pair
(-infinity - +infinity)
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 single number y=

33. What is a function?
undefined
identity
inconsistant
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

34. What is the domain and range of a constant function?
Mirror image neg quadrant to that of the positive quandrant
undefined
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)

35. Why can h not equal zero in the difference of a quotient function formula?
because the demintor of a quotient can never equal zero
Cannot be drawn in quizlet
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
x2-x1 because the demonaitor of a quotient can never equal zero

36. Is the square root function odd - even or neither?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
neither
horizontal right
Yes - all the domains points to one range

37. What is the formula for the standard cubic function?
f(x)=x^3
f(x)=suare root of x
inconsitent
2nd catalog (zero key -) abs(x) - graph

38. What does linear equation mean?
f(x)=IxI
2nd catalog (zero key -) abs(x) - graph
Equation of a line
The slope of a line containing two points

39. $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?
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
Yes - all the domains points to one range
Set the x and y to zero and get the intercepts and then plot the points
Line ascending to the right gradually

40. What are two examples of composit functions?
f of g and g of f
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)
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

41. Which direction does f(x+c) move
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.
horizontal left
f(x+h)-f(x)/h h cannot equal zero
parabola - up one and right three

42. What is the vertex?
Y=b
Mirror image neg quadrant to that of the positive quandrant
4 -6 -9
The minimum or maximum points

43. 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?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)
parabola
x is the hours to repair the boat. $1603-532=anwser/63 = x

44. What type of line is 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
parabola - up one and right three
horizontal
x2-x1 because the demonaitor of a quotient can never equal zero

45. What is the formula in both horizontal stretching and horizontal shrinking?
Three odd - cube root - identity - standard cubic
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
x = the original sale price and the formula is x - .40x =$276

46. What type of slope do you have when a line falls left to right and m<0?
f(x)=suare root of x
As many as you like
Three odd - cube root - identity - standard cubic
negative slope

47. What can we substitute for f(x)?
A V
undefined slope
The opposite coordinates
Y

48. What is the range for the standard cubic function?
(-infinity - +infinity)
f(x)=suare root of x
(-infinity - 0]U[0 - +infinity)
2nd key - x^2 - graph

49. Two vertical lines side by side are a symbol for what
parraelle line
Change in y / change in x = rise / run = y2-y1 / x2-x1
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
Yes - all the domains points to one range

50. What is the vertical line formula?
x = the original sale price and the formula is x - .40x =$276
inconsistant
x=a
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