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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. Draw or discuss a decreasing function
x^2
odd
Cannot be drawn in quizlet
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

2. What is another way to write f(x)=x - what type of function is this?
Y
Absolute Value - Constant and Standard Quadratic
The slope of a line containing two points
Y=x - identity function

3. What is the average rate of change formula?
(-infinity - +infinity)
The minimum or maximum points
up
f(x2)-f(x1) / x2-x1

4. What is the slope intercept formula? Define all the variables.
postiive slope
A line passing through two distinct points
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

5. What is the formula for the cube root function?
f(x)=3 square root x
f(x2)-f(x1) / x2-x1
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph

6. What is the domain for the standard cubic function?
(-infinity - +infinity)
Line ascending to the right gradually
Cannot be drawn in quizlet
Set the x and y to zero and get the intercepts and then plot the points

7. x=no real numbers is what type of an equation?
postiive slope
inconsistant
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
in a quotient

8. Is a standard quadratic function even - odd or neither?
horizontal
horizontal right
odd
even

9. Is a constant function even - odd or neither?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
even
odd
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.

10. What is the domain of the cube root function?
zero slope
(-infinity - +infinity)
Y=x - identity function
f of g and g of f

11. What equation does every line have? Discuss the variables.
Approach neg toward x through zero and above positive close to x
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y=x - identity function
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.

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

13. What type of slope do you have when a line rises from left to right and m>0?
postiive slope
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
f(x)=suare root of x
identity

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

15. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
Y=x^2 - graph
The minimum or maximum points
Y=10

16. What is a function?
(f+g) - (f-g) - (fg) - (f/g) all of x
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
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
[0 -+infinity)

17. What is the range for a standard quadratic function?
(-infinity - 0]U[0 - +infinity)
Cannot be drawn in quizlet
f(x) = x
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

18. What type of line is a constant function?
horizontal
x math 3 graph
(-infinity - 0]U[0 - +infinity)
f(x^1)=f(x^2)

19. What is the domain for an absolute value function?
Square Root
(-infinity - +infinity)
even
(-infinity - 0]U[0 - +infinity)

20. 4x+5x=8x is what type of an equation?
Y=IxI
(-infinity - +infinity)
x^2
Conditional

21. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Three odd - cube root - identity - standard cubic
Cannot be drawn in quizlet
math 4 x - graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

22. $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?
math 4 x - graph
odd
Y= then enter the number then press graph
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

23. What is slope?
When does a graph not define y as a function of x?
A line passing through two distinct points
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
f(x+h)-f(x)/h h cannot equal zero

24. How do you graph Ax+By+C=0?
The secant line
parabola
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - 0]U[0 - +infinity)

25. What are the calculator instructions for the standard cubic function?
Absolute Value - Constant and Standard Quadratic
2nd catalog (zero key -) abs(x) - graph
The first set of components of an ordered pair
x math 3 graph

26. f(x) = x^2+3x+5 - what type of formula is this?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Absolute Value - Constant and Standard Quadratic
only one
function notation

27. how many domains can you have pointing to one range?
even
Conditional
As many as you like
in a quotient

28. What is the formula for the square root function?
function notation
x=a
even
f(x)=suare root of x

29. What type of slope do horizontal lines have?
Three odd - cube root - identity - standard cubic
same
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.
(f+g) - (f-g) - (fg) - (f/g) all of x

30. What is the formula in both horizontal stretching and horizontal shrinking?
x = the original sale price and the formula is x - .40x =$276
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
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.

31. 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?
f(x^1)=f(x^2)
horizontal
x is the hours to repair the boat. $1603-532=anwser/63 = x
x^2

32. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
(-infinity - +infinity)
f(x+c) and f(x-c)
(-infinity - +infinity)

33. Which direction does f(x-c) move
horizontal right
A line passing through two distinct points
same
0<c<1 - horizontal stretching

34. What is the range of a square root function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
[0 -+infinity)
Cannot be drawn in quizlet
Y=x - identity function

35. Draw or discuss an increasing function
even
Absolute Value - Constant and Standard Quadratic
[0 -+infinity)
Cannot be drawn in quizlet

36. What does the square root function look like on a graph?
Square Root
Line ascending to the right gradually
x2-x1 because the demonaitor of a quotient can never equal zero
Y= then enter the number then press graph

37. What is a domain?
Conditional
The first set of components of an ordered pair
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
f(x^1)=f(x^2)

38. Is an identity function even - odd or neither?
down
odd
x^2
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

39. Standard absolute value - horizontal shift formulas for left and right
undefined slope
f(x+c) and f(x-c)
(f+g) - (f-g) - (fg) - (f/g) all of x
The first set of components of an ordered pair

40. What is the range for the standard cubic function?
f(x)=+c and f(x)-c
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
f(x)=suare root of x
(-infinity - +infinity)

41. What are the four steps for solving a linear equation?
A V
The second set of components of an ordered pair
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.
same

42. What is the range of the cube root function?
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)
because the demintor of a quotient can never equal zero
postiive slope

43. What type of function would you use to calculate the most advantageous cell phone plan?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Line ascending to the right gradually
Piecewise
(-infinity - +infinity)

44. What does the absolute value function look like?
Y=IxI
undefined slope
A V
Set the x and y to zero and get the intercepts and then plot the points

45. What are the calculator instructions for absolute value?
math 4 x - graph
f(x2)-f(x1) / x2-x1
even
2nd catalog (zero key -) abs(x) - graph

46. what is the formula for slope?
The first set of components of an ordered pair
Change in y / change in x = rise / run = y2-y1 / x2-x1
2nd key - x^2 - graph
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.

47. What is the range of the constant function?
The single number y=
(-infinity - +infinity)
f of g and g of f
undefined

48. what is the letter used to represent slope?
same
f(x+c) and f(x-c)
m
f(x^1)=f(x^2)

49. Is the square root function odd - even or neither?
neither
m
[0 -+infinity)
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.

50. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
0<c<1 - horizontal stretching
1 -2 -3
(f+g) - (f-g) - (fg) - (f/g) all of x
Y=x^2 - graph