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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 the standard cubic function?
(f+g) - (f-g) - (fg) - (f/g) all of x
x math 3 graph
x2-x1 because the demonaitor of a quotient can never equal zero
f(x)=x^3

2. What are the calculator instructions for the cube root function?
1 -2 -3
x2-x1 because the demonaitor of a quotient can never equal zero
C>1 - horizontal shrinking
math 4 x - graph

3. What type of line is a constant function?
math 4 x - graph
horizontal
odd
As many as you like

4. What is the range for a standard quadratic function?
(-infinity - 0]U[0 - +infinity)
zero slope
m
Any set of ordered pairs

5. y=f(cx) what does this formula represent?
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
0<c<1 - horizontal stretching
Piecewise
up

6. What are the steps for solving a word problem?
negative slope
f(x)=3 square root x
f(x+h)-f(x)/h h cannot equal zero
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

7. What type of slope do you have when a line rises from left to right and m>0?
The first 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.
postiive slope
(f+g) - (f-g) - (fg) - (f/g) all of x

8. 4(x-7)=4x+28 is what type of an equation?
x math 3 graph
f(x) = x
inconsitent
[0 -+infinity)

9. $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?
The slope of a line containing two points
perpendicular line
f(x2)-f(x1) / 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

10. What is the domain of an identity function?
When does a graph not define y as a function of x?
Yes - all the domains points to one range
[0 -+infinity)
(-infinity - +infinity)

11. What is the domain for the standard cubic function?
up
45 degree angle
(-infinity - +infinity)
The secant line

12. What is the formula in both horizontal stretching and horizontal shrinking?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
identity
Y= then enter the number then press graph
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

13. x=no real numbers is what type of an equation?
neither
Conditional
A V
inconsistant

14. Which direction does f(x+c) move
horizontal left
Y
0<c<1 - horizontal stretching
postiive slope

15. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
(f+g) - (f-g) - (fg) - (f/g) all of x
negative inverse
The secant line
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

16. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
The minimum or maximum points
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.
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
inconsistant

17. What type of slope do vertical lines have?
undefined
[0 -+infinity)
1 -2 -3
f(x+c) and f(x-c)

18. What are the algebra of functions?
neither
Equation of a line
(f+g) - (f-g) - (fg) - (f/g) all of x
Y=x^2 - graph

19. How do you graph Ax+By+C=0?
horizontal right
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

20. What is the slope intercept formula? Define all the variables.
The slope of a line containing two points
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
f(x^1)=f(x^2)
postiive slope

21. how many domains can you have pointing to one range?
As many as you like
f(x)=suare root of x
inconsistant
Absolute Value - Constant and Standard Quadratic

22. Is the standard cubic function odd - even or neither?
x=a
neither
odd
(-infinity - +infinity)

23. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
f(x2)-f(x1) / x2-x1
(-infinity - +infinity)
f(x)=IxI

24. What is a function?
(f+g) - (f-g) - (fg) - (f/g) all of x
When does a graph not define y as a function of x?
Approach neg toward x through zero and above positive close to x
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

25. What is a domain?
parabola
Y=x^2 - graph
same
The first set of components of an ordered pair

26. y=f(cx) - what does this formula represent?
zero slope
C>1 - horizontal shrinking
neither
negative inverse

27. What does the square root function look like on a graph?
inconsistant
Line ascending to the right gradually
As equations
(-infinity - +infinity)

28. Of the seven of algebra's common graph's how many are even?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Absolute Value - Constant and Standard Quadratic
Piecewise
Conditional

29. What does the absolute value function look like?
f(x)=suare root of x
inconsitent
math 4 x - graph
A V

30. What is the range for an absolute value function?
Cannot be drawn in quizlet
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - 0]U[0 - +infinity)
f(x+c) and f(x-c)

31. Why can h not equal zero in the difference of a quotient function formula?
(-infinity - +infinity)
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
because the demintor of a quotient can never equal zero

32. What type of slope do you have when a line falls left to right and m<0?
(-infinity - +infinity)
The minimum or maximum points
4 -6 -9
negative slope

33. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
odd
Y
20+.05x=5+.10x x=minutes
even

34. What is the vertical line test?
When does a graph not define y as a function of x?
down
(-infinity - 0]U[0 - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

35. What type of slope do you have when the line is horizontal and m=0?
x=a
The single number y=
zero slope
Set the x and y to zero and get the intercepts and then plot the points

36. What is the range of the constant function?
f(x+c) and f(x-c)
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
The single number y=

37. What are the calculator instructions for a square root function?
20+.05x=5+.10x x=minutes
2nd key - x^2 - graph
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
down

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

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39. What equation does every line have? Discuss the variables.
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.
x^2
f(x+h)-f(x)/h h cannot equal zero

40. what is a range?
The second set of components of an ordered pair
A line passing through two distinct points
identity
f(x)=3 square root x

41. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
x = the original sale price and the formula is x - .40x =$276
negative inverse
negative slope
Y

42. What is the range for the standard cubic function?
horizontal right
(-infinity - +infinity)
As equations
(-infinity - 0]U[0 - +infinity)

43. Which direction does f(x-c) move
Any set of ordered pairs
horizontal right
up
x math 3 graph

44. how many ranges can you have for each domain?
Approach neg toward x through zero and above positive close to x
undefined slope
0<c<1 - horizontal stretching
only one

45. What is the vertex?
x math 3 graph
horizontal
The minimum or maximum points
even

46. Standard absolute value - horizontal shift formulas for left and right
f(x+h)-f(x)/h h cannot equal zero
[0 -+infinity)
f(x+c) and f(x-c)
f(x) = x

47. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Three odd - cube root - identity - standard cubic
Yes - all the domains points to one range
only one
The single number y=

48. Is an identity function even - odd or neither?
odd
inconsitent
Conditional
function notation

49. What are the four steps for finding the inverse of a function?
(-infinity - +infinity)
The secant line
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
neither

50. What are the calculator instructions for the standard cubic function?
x math 3 graph
The slope of a line containing two points
Y= then enter the number then press graph
Conditional