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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 are two examples of composit functions?
[0 -+infinity)
0<c<1 - horizontal stretching
f of g and g of f
odd

2. 4x+5x=8x is what type of an equation?
in a quotient
parabola
Conditional
f(x)=suare root of x

3. What is the vertical line test?
x math 3 graph
Cannot be drawn in quizlet
When does a graph not define y as a function of x?
identity

4. what is the letter used to represent slope?
(-infinity - +infinity)
m
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
0<c<1 - horizontal stretching

5. What is the range for the standard cubic function?
negative inverse
in a quotient
(-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

6. What is the horizontal line formula?
Cannot be drawn in quizlet
Mirror image neg quadrant to that of the positive quandrant
Y=b
no because you cannot have one domain pointing at two y's or ranges

7. What is the domain for a standard quadratic function?
f(x2)-f(x1) / x2-x1
(-infinity - +infinity)
x2-x1 because the demonaitor of a quotient can never equal zero
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

8. What is the vertex?
Y=b
The minimum or maximum points
Change in y / change in x = rise / run = y2-y1 / x2-x1
Equation of a line

9. What type of function would you use to calculate the most advantageous cell phone plan?
Line ascending to the right gradually
(f+g) - (f-g) - (fg) - (f/g) all of x
Equation of a line
Piecewise

10. 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+c) and f(x-c)
Piecewise
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
Approach neg toward x through zero and above positive close to x

11. Draw or discuss a decreasing function
Piecewise
Change in y / change in x = rise / run = y2-y1 / x2-x1
postiive slope
Cannot be drawn in quizlet

12. what is the formula for slope?
m
identity
same
Change in y / change in x = rise / run = y2-y1 / x2-x1

13. Standard absolute value - horizontal shift formulas for left and right
function notation
negative inverse
x is the hours to repair the boat. $1603-532=anwser/63 = x
f(x+c) and f(x-c)

14. In an identity function if f(10)=x than what is y?
Y=10
(-infinity - +infinity)
The single number y=
horizontal right

15. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
down

16. Draw or discuss an increasing function
same
Cannot be drawn in quizlet
Y= then enter the number then press graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

17. What are the four steps for finding the inverse of a function?
no because you cannot have one domain pointing at two y's or ranges
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
only one
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

18. What is the point slope formula and when do you use it?
horizontal
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
[0 -+infinity)
undefined

19. What is the domain and range of a constant function?
The second set of components of an ordered pair
parraelle line
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.
(-infinity - +infinity)

20. What is the standard quadratic function?
x^2
(f+g) - (f-g) - (fg) - (f/g) all of x
f(x)=x^3
odd

21. 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= then enter the number then press graph
The minimum or maximum points
x is the hours to repair the boat. $1603-532=anwser/63 = x
x=a

22. how many domains can you have pointing to one range?
[0 -+infinity)
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(x2)-f(x1) / x2-x1
As many as you like

23. What are the calculator instructions for absolute value?
odd
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
2nd catalog (zero key -) abs(x) - graph
Conditional

24. What is the formula for to calculate the difference of a quotient function?
(f+g) - (f-g) - (fg) - (f/g) all of x
f(x+h)-f(x)/h h cannot equal zero
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)

25. What are the calculator instructions for the cube root function?
because the demintor of a quotient can never equal zero
Three odd - cube root - identity - standard cubic
math 4 x - graph
up

26. Which direction does f(x-c) move
A V
up
horizontal right
Y= then enter the number then press graph

27. What are the calculator instructions for a standard quadratic equation?
math 4 x - graph
(-infinity - +infinity)
Y=x^2 - graph
A line passing through two distinct points

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

29. what is a range?
horizontal right
x = the original sale price and the formula is x - .40x =$276
Set the x and y to zero and get the intercepts and then plot the points
The second set of components of an ordered pair

30. What type of slope do you have when m=? and the line is vertical?
undefined slope
parraelle line
no because you cannot have one domain pointing at two y's or ranges
When does a graph not define y as a function of x?

31. What is the range of an identity function?
(-infinity - 0]U[0 - +infinity)
Cannot be drawn in quizlet
undefined slope
(-infinity - +infinity)

32. What is the domain 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)
(-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

33. What are the four steps for solving a linear equation?
f(x+h)-f(x)/h h cannot equal zero
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.
The second set of components of an ordered pair
2nd key - x^2 - graph

34. What does the square root function look like on a 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
identity
Line ascending to the right gradually
20+.05x=5+.10x x=minutes

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

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36. What equation does every line have? Discuss the variables.
f of g and g of f
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.
odd
Conditional

37. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
x math 3 graph
(-infinity - +infinity)
Yes - all the domains points to one range
The second set of components of an ordered pair

38. What does linear equation mean?
Cannot be drawn in quizlet
neither
Equation of a line
x^2

39. How would this formula move f(x)=(x+1)^2-3
parabola - up one and right three
Y=b
only one
horizontal

40. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
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
down
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

41. What shape is the standard quadratic function?
The opposite coordinates
Mirror image neg quadrant to that of the positive quandrant
parabola
x math 3 graph

42. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
Y=10
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)=suare root of x

43. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
A V
math 4 x - graph
Cannot be drawn in quizlet
x = the original sale price and the formula is x - .40x =$276

44. What does the graph of the cube root function look like on the 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
Approach neg toward x through zero and above positive close to x
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
x=a

45. How are functions normally written?
f(x)=3 square root x
As equations
Set the x and y to zero and get the intercepts and then plot the points
The slope of a line containing two points

46. x=all real numbers is what type of an equation?
Y=10
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
45 degree angle
identity

47. how many ranges can you have for each domain?
only one
neither
45 degree angle
(-infinity - +infinity)

48. What is the range for a standard quadratic function?
(-infinity - 0]U[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.
f of g and g of f
Cannot be drawn in quizlet

49. What type of slope do you have when a line falls left to right and m<0?
identity
C>1 - horizontal shrinking
(-infinity - +infinity)
negative slope

50. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
The opposite coordinates
20+.05x=5+.10x x=minutes
Y=x - identity function
When does a graph not define y as a function of x?