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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 range of an identity function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)
[0 -+infinity)

2. What is slope?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
parabola
A line passing through two distinct points
Y

3. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
x = the original sale price and the formula is x - .40x =$276
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
parabola

4. What is the domain for a standard quadratic function?
(-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
f(x)=x^3
horizontal left

5. What equation does every line have? Discuss the variables.
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)
The opposite coordinates
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.

6. Of the seven of algebra's common graph's how many are even?
odd
Line ascending to the right gradually
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)

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

8. What is the domain and range of a constant function?
f(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)
horizontal right
x math 3 graph

9. Why can h not equal zero in the difference of a quotient function formula?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
because the demintor of a quotient can never equal zero
Three odd - cube root - identity - standard cubic
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

10. What is an identity function?
45 degree angle
0<c<1 - horizontal stretching
(-infinity - +infinity)
(-infinity - +infinity)

11. What is the formula for the cube root function?
f(x)=3 square root x
Piecewise
The minimum or maximum points
When does a graph not define y as a function of x?

12. What does the absolute value function look like?
inconsistant
A V
Mirror image neg quadrant to that of the positive quandrant
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

13. What is the formula in both horizontal stretching and horizontal shrinking?
(-infinity - +infinity)
45 degree angle
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
1 -2 -3

14. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
f(x+h)-f(x)/h h cannot equal zero
The secant line
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
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

15. What is the range for an absolute value function?
f(x+c) and f(x-c)
(-infinity - 0]U[0 - +infinity)
2nd key - x^2 - graph
f(x^1)=f(x^2)

16. What are the algebra of functions?
Any set of ordered pairs
f(x) = x
(f+g) - (f-g) - (fg) - (f/g) all of x
Set the x and y to zero and get the intercepts and then plot the points

17. What type of slope do you have when the line is horizontal and m=0?
C>1 - horizontal shrinking
Square Root
4 -6 -9
zero slope

18. Draw or discuss a constant function
Cannot be drawn in quizlet
x math 3 graph
The slope of a line containing two points
A line passing through two distinct points

19. Of the seven of algebra's common graph's how many are neither?
Square Root
(-infinity - +infinity)
Cannot be drawn in quizlet
Equation of a line

20. What are the calculator instructions for the standard cubic function?
Yes - all the domains points to one range
The secant line
4 -6 -9
x math 3 graph

21. What is the domain of an identity function?
(-infinity - +infinity)
odd
function notation
down

22. What is the vertex?
because the demintor of a quotient can never equal zero
The minimum or maximum points
The single number y=
Absolute Value - Constant and Standard Quadratic

23. How do you graph Ax+By+C=0?
horizontal right
f(x+c) and f(x-c)
Set the x and y to zero and get the intercepts and then plot the points
f(x)=3 square root x

24. What points do you use to plot the inverse on a graph?
because the demintor of a quotient can never equal zero
parraelle line
The opposite coordinates
(-infinity - +infinity)

25. Which direction does f(x-c) move
neither
Conditional
f(x)=+c and f(x)-c
horizontal right

26. What is the domain of a square root function?
down
2nd key - x^2 - graph
[0 -+infinity)
(-infinity - +infinity)

27. What direction does f(x)-c move in standard absolute value formula?
f(x)=3 square root x
down
Mirror image neg quadrant to that of the positive quandrant
up

28. What is the slope of a perpendicular line?
negative inverse
down
zero slope
x^2

29. What is the line called that illustrates the straight line between the two points when showing average rate of change?
45 degree angle
x2-x1 because the demonaitor of a quotient can never equal zero
The secant line
zero slope

30. What is the formula for the standard cubic function?
function notation
f(x)=x^3
only one
The single number y=

31. Standard absolute value - horizontal shift formulas for left and right
Y=x^2 - graph
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+c) and f(x-c)
inconsitent

32. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
2nd catalog (zero key -) abs(x) - graph
1 -2 -3
[0 -+infinity)
same

33. What does the average rate of change formula solve?
f(x)=suare root of x
The slope of a line containing two points
Equation of a line
Y=x - identity function

34. what is the letter used to represent slope?
Cannot be drawn in quizlet
(-infinity - +infinity)
inconsistant
m

35. What is the formula for the square root function?
f(x)=suare root of x
f(x+c) and f(x-c)
Y= then enter the number then press graph
undefined

36. When is the only time (-infinity - +infinity) is not the domain?
function notation
in a quotient
x math 3 graph
f(x) = x

37. How would this formula move f(x)=(x+1)^2-3
in a quotient
When does a graph not define y as a function of x?
parabola - up one and right three
0<c<1 - horizontal stretching

38. 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?
A line passing through two distinct points
x is the hours to repair the boat. $1603-532=anwser/63 = x
(-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

39. What type of line is an identity function?
f(x^1)=f(x^2)
45 degree angle
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
neither

40. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
As equations
A V
f(x+h)-f(x)/h h cannot equal zero
4 -6 -9

41. What type of line is a constant function?
45 degree angle
As many as you like
horizontal
A V

42. What is a constant function?
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
inconsitent
f(x^1)=f(x^2)

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

44. What is the average rate of change formula?
The opposite coordinates
f(x2)-f(x1) / x2-x1
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
identity

45. What is the vertical line formula?
(f+g) - (f-g) - (fg) - (f/g) all of x
The second set of components of an ordered pair
x=a
4 -6 -9

46. What type of slope do you have when a line falls left to right and m<0?
Piecewise
Square Root
C>1 - horizontal shrinking
negative slope

47. What is the range for the standard cubic function?
Any set of ordered pairs
(-infinity - +infinity)
4 -6 -9
Mirror image neg quadrant to that of the positive quandrant

48. What is the vertical line test?
45 degree angle
Y=IxI
Line ascending to the right gradually
When does a graph not define y as a function of x?

49. What can we substitute for f(x)?
Y
f(x^1)=f(x^2)
f(x)=3 square root x
Conditional

50. 4x+5x=8x is what type of an equation?
postiive slope
Conditional
[0 -+infinity)
x = the original sale price and the formula is x - .40x =$276