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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 slope of a perpendicular line?
1 -2 -3
negative inverse
Line ascending to the right gradually
negative slope

2. 4(x-7)=4x-28 is what type of an equation?
x math 3 graph
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
odd
identity

3. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
As many as you like
Set the x and y to zero and get the intercepts and then plot the points
Absolute Value - Constant and Standard Quadratic

4. What is the formula for the cube root function?
in a quotient
even
inconsistant
f(x)=3 square root x

5. What is a constant function?
Absolute Value - Constant and Standard Quadratic
f(x^1)=f(x^2)
(-infinity - +infinity)
down

6. 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
Y=x - identity function
When does a graph not define y as a function of x?
function notation

7. how many ranges can you have for each domain?
postiive slope
horizontal left
C>1 - horizontal shrinking
only one

8. Is a standard quadratic function even - odd or neither?
Y=b
down
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
even

9. Is an identity function even - odd or neither?
(-infinity - +infinity)
(-infinity - +infinity)
odd
The minimum or maximum points

10. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)
Line ascending to the right gradually
(f+g) - (f-g) - (fg) - (f/g) all of x

11. What is the domain and range of a constant function?
undefined slope
As equations
Piecewise
(-infinity - +infinity)

12. $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?
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
(-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
Change in y / change in x = rise / run = y2-y1 / x2-x1

13. how many domains can you have pointing to one range?
As many as you like
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
A line passing through two distinct points
(-infinity - +infinity)

14. What is the range for an absolute value function?
in a quotient
(-infinity - 0]U[0 - +infinity)
Equation of a line
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

15. What is the domain of a square root function?
(-infinity - +infinity)
[0 -+infinity)
Yes because two x's or domains can point to one y
Carefuly understand let x be one of the unknowns - write expressions for any other unknowns in terms of x - write an equation in x that models the verbal conditions of the problem - solve the equation - check solution in the original wording of the p

16. What is the vertical line formula?
(-infinity - +infinity)
The secant line
m
x=a

17. x= a real number is what type of equation?
horizontal right
Conditional
f(x2)-f(x1) / x2-x1
even

18. Is the standard cubic function odd - even or neither?
even
math 4 x - graph
odd
x^2

19. What is the range of an identity function?
20+.05x=5+.10x x=minutes
A V
(-infinity - +infinity)
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

20. What is the range of a square root function?
Cannot be drawn in quizlet
[0 -+infinity)
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

21. What equation does every line have? Discuss the variables.
The second set of components of an ordered pair
horizontal
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.
up

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

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23. How do you graph Ax+By+C=0?
f(x+h)-f(x)/h h cannot equal zero
Set the x and y to zero and get the intercepts and then plot the points
20+.05x=5+.10x x=minutes
Square Root

24. What is the vertex?
Conditional
The minimum or maximum points
f of g and g of f
[0 -+infinity)

25. x=all real numbers is what type of an equation?
f(x)=suare root of x
identity
f(x)=3 square root x
45 degree angle

26. What is slope?
(-infinity - +infinity)
20+.05x=5+.10x x=minutes
A line passing through two distinct points
The slope of a line containing two points

27. What can we substitute for f(x)?
Piecewise
45 degree angle
Y
(-infinity - 0]U[0 - +infinity)

28. A flat line underlining one vertical line is a symbol for
horizontal
inconsistant
45 degree angle
perpendicular line

29. What is the slope intercept formula? Define all the variables.
identity
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

30. What is the domain of an identity function?
(-infinity - +infinity)
inconsitent
odd
Square Root

31. Is a constant function even - odd or neither?
horizontal left
Line ascending to the right gradually
math 4 x - graph
even

32. What are the calculator instructions for the standard cubic function?
horizontal
in a quotient
x math 3 graph
Absolute Value - Constant and Standard Quadratic

33. f(x) = x^2+3x+5 - what type of formula is this?
C>1 - horizontal shrinking
The secant line
function notation
f(x)=3 square root x

34. What is the domain for a standard quadratic function?
horizontal
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
parabola - up one and right three
(-infinity - +infinity)

35. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
Yes because two x's or domains can point to one y
[0 -+infinity)
2nd catalog (zero key -) abs(x) - graph

36. What is the formula for an absolute value function?
20+.05x=5+.10x x=minutes
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
f(x)=IxI
2nd key - x^2 - graph

37. Draw or discuss a decreasing function
(-infinity - 0]U[0 - +infinity)
Mirror image neg quadrant to that of the positive quandrant
Cannot be drawn in quizlet
45 degree angle

38. What is the range of the cube root function?
odd
(-infinity - +infinity)
x math 3 graph
The slope of a line containing two points

39. what is the letter used to represent slope?
m
postiive slope
(-infinity - +infinity)
x=a

40. What is the domain for the standard cubic function?
The slope of a line containing two points
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)
The secant line

41. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
odd
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Piecewise

42. What is the vertical line test?
(-infinity - 0]U[0 - +infinity)
4 -6 -9
When does a graph not define y as a function of x?
neither

43. What is another way of writing the absolute value function?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Any set of ordered pairs
Y=IxI
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.

44. What type of slope do you have when a line rises from left to right and m>0?
postiive slope
Change in y / change in x = rise / run = y2-y1 / x2-x1
perpendicular line
The single number y=

45. What is the horizontal line formula?
Y=b
Set the x and y to zero and get the intercepts and then plot the points
f(x2)-f(x1) / x2-x1
even

46. What is the formula for to calculate the difference of a quotient function?
Equation of a line
f(x+h)-f(x)/h h cannot equal zero
undefined
inconsitent

47. What type of line is a constant function?
horizontal
As many as you like
As equations
2nd catalog (zero key -) abs(x) - graph

48. What are the algebra of functions?
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
Cannot be drawn in quizlet
(f+g) - (f-g) - (fg) - (f/g) all of x
x2-x1 because the demonaitor of a quotient can never equal zero

49. What does the average rate of change formula solve?
even
Y=10
even
The slope of a line containing two points

50. What is the formula for the square root function?
Carefuly understand let x be one of the unknowns - write expressions for any other unknowns in terms of x - write an equation in x that models the verbal conditions of the problem - solve the equation - check solution in the original wording of the p
The secant line
Square Root
f(x)=suare root of x