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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 does the square root function look like on a graph?
Line ascending to the right gradually
f(x^1)=f(x^2)
(-infinity - +infinity)
down

2. What type of slope do vertical lines have?
(-infinity - +infinity)
The opposite coordinates
The single number y=
undefined

3. 4(x-7)=4x+28 is what type of an equation?
(-infinity - +infinity)
inconsitent
inconsistant
Piecewise

4. What points do you use to plot the inverse on a graph?
horizontal right
The opposite coordinates
Approach neg toward x through zero and above positive close to x
Equation of a line

5. x=all real numbers is what type of an equation?
Square Root
Equation of a line
When does a graph not define y as a function of x?
identity

6. What is the formula in both horizontal stretching and horizontal shrinking?
Change in y / change in x = rise / run = y2-y1 / x2-x1
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
x = the original sale price and the formula is x - .40x =$276
m

7. f(x) = x^2+3x+5 - what type of formula is this?
undefined
horizontal left
function notation
in a quotient

8. What is the formula for the standard cubic function?
f(x)=x^3
perpendicular line
function notation
math 4 x - graph

9. What is the vertical line formula?
x=a
x^2
horizontal right
undefined

10. What type of slope do you have when a line falls left to right and m<0?
negative slope
f(x)=IxI
horizontal left
The single number y=

11. Is an identity function even - odd or neither?
f(x)=+c and f(x)-c
even
Conditional
odd

12. Is an absolute value function even - odd or neither?
x=a
(-infinity - +infinity)
even
(-infinity - +infinity)

13. What are the calculator instructions for absolute value?
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The first set of components of an ordered pair

14. What are the calculator instructions for a standard quadratic equation?
A V
2nd catalog (zero key -) abs(x) - graph
Y=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.

15. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Approach neg toward x through zero and above positive close to x
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
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)

16. Why can h not equal zero in the difference of a quotient function formula?
(-infinity - +infinity)
The single number 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
because the demintor of a quotient can never equal zero

17. Draw or discuss a decreasing function
x=a
Cannot be drawn in quizlet
f(x) = x
The minimum or maximum points

18. how many domains can you have pointing to one range?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
As many as you like
(-infinity - +infinity)
even

19. When is the only time (-infinity - +infinity) is not the domain?
in a quotient
parraelle line
up
m

20. What is the standard quadratic function?
(-infinity - +infinity)
x^2
f(x+c) and f(x-c)
f(x)=IxI

21. Is a constant function even - odd or neither?
f(x^1)=f(x^2)
even
[0 -+infinity)
C>1 - horizontal shrinking

22. What type of slope do you have when a line rises from left to right and m>0?
Y
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
postiive slope
When does a graph not define y as a function of x?

23. What does the average rate of change formula solve?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
The slope of a line containing two points
Cannot be drawn in quizlet
x^2

24. What is the slope intercept formula? Define all the variables.
(-infinity - +infinity)
postiive slope
Equation of a line
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

25. Standard absolute value - horizontal shift formulas for left and right
neither
f(x+c) and f(x-c)
Equation of a line
inconsitent

26. x=no real numbers is what type of an equation?
horizontal
2nd key - x^2 - graph
parabola
inconsistant

27. What is the range of the constant function?
(-infinity - +infinity)
[0 -+infinity)
The single number y=
0<c<1 - horizontal stretching

28. What are the four steps for finding the inverse of a function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
undefined
(-infinity - 0]U[0 - +infinity)
f(x)=IxI

29. What is the formula for the square root function?
Cannot be drawn in quizlet
f(x)=IxI
f(x)=suare root of x
The single number y=

30. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
The secant line
f(x) = x
20+.05x=5+.10x x=minutes
x^2

31. What is a relation?
Y=x^2 - graph
horizontal
Any set of ordered pairs
Yes - all the domains points to one range

32. how many ranges can you have for each domain?
only one
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
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
even

33. What does the standard cubic function look like on a graph?
Y=IxI
odd
Square Root
Mirror image neg quadrant to that of the positive quandrant

34. y=f(cx) what does this formula represent?
identity
(-infinity - +infinity)
0<c<1 - horizontal stretching
parraelle line

35. What is an identity function?
(-infinity - +infinity)
(-infinity - +infinity)
45 degree angle
Y=IxI

36. what is the letter used to represent slope?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The single number y=
m
Approach neg toward x through zero and above positive close to x

37. Draw or discuss an increasing function
down
up
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Cannot be drawn in quizlet

38. How would this formula move f(x)=(x+1)^2-3
parabola - up one and right three
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)
because the demintor of a quotient can never equal zero

39. What is the range for a standard quadratic function?
Y=x - identity function
(-infinity - 0]U[0 - +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
function notation

40. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
horizontal
2nd key - x^2 - graph
f(x)=3 square root x

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

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42. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
(-infinity - +infinity)
x is the hours to repair the boat. $1603-532=anwser/63 = 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
f(x)=IxI

43. What is the vertex?
Approach neg toward x through zero and above positive close to x
The minimum or maximum points
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

44. How do you graph Ax+By+C=0?
down
perpendicular line
f of g and g of f
Set the x and y to zero and get the intercepts and then plot the points

45. What is the average rate of change formula?
45 degree angle
(-infinity - +infinity)
f(x2)-f(x1) / x2-x1
Equation of a line

46. Which direction does f(x-c) move
horizontal right
zero slope
Cannot be drawn in quizlet
f(x2)-f(x1) / x2-x1

47. y=f(cx) - what does this formula represent?
1 -2 -3
horizontal left
C>1 - horizontal shrinking
x^2

48. What direction does f(x)-c move in standard absolute value formula?
(-infinity - +infinity)
down
neither
Yes - all the domains points to one range

49. What equation does every line have? Discuss the variables.
down
Line ascending to the right gradually
parabola - up one and right three
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.

50. What is the vertical line test?
(-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
neither
When does a graph not define y as a function of x?