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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 a relation?
(-infinity - 0]U[0 - +infinity)
Any set of ordered pairs
f(x+h)-f(x)/h h cannot equal zero
undefined slope

2. What can we substitute for f(x)?
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic
f(x)=3 square root x
Y

3. How would this formula move f(x)=(x+1)^2-3
parabola - up one and right three
x is the hours to repair the boat. $1603-532=anwser/63 = x
Yes - all the domains points to one range
Square Root

4. 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?
parraelle line
Absolute Value - Constant and Standard Quadratic
x is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - 0]U[0 - +infinity)

5. What is a function?
postiive slope
(-infinity - +infinity)
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
perpendicular line

6. Is the standard cubic function odd - even or neither?
odd
A V
The second set of components of an ordered pair
f(x) = x

7. What type of line is an identity function?
45 degree angle
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Three odd - cube root - identity - standard cubic
(-infinity - 0]U[0 - +infinity)

8. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
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
The first set of components of an ordered pair
20+.05x=5+.10x x=minutes
horizontal

9. What type of slope do you have when the line is horizontal and m=0?
Y=10
x is the hours to repair the boat. $1603-532=anwser/63 = x
0<c<1 - horizontal stretching
zero slope

10. What direction does f(x)-c move in standard absolute value formula?
4 -6 -9
horizontal right
(-infinity - +infinity)
down

11. What is the formula in both horizontal stretching and horizontal shrinking?
(-infinity - +infinity)
0<c<1 - horizontal stretching
identity
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

12. what is the letter used to represent slope?
down
Y=x^2 - graph
in a quotient
m

13. What are the steps for solving a word problem?
f(x)=suare root of x
math 4 x - graph
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
horizontal

14. How are functions normally written?
(-infinity - +infinity)
As equations
Yes - all the domains points to one range
Square Root

15. Is a standard quadratic function even - odd or neither?
up
even
4 -6 -9
only one

16. what can never equal zero in the slope formula and why?
x2-x1 because the demonaitor of a quotient can never equal zero
45 degree angle
negative inverse
Piecewise

17. What are the calculator instructions for absolute value?
inconsitent
parraelle line
The secant line
2nd catalog (zero key -) abs(x) - graph

18. Draw or discuss a decreasing function
negative slope
x2-x1 because the demonaitor of a quotient can never equal zero
postiive slope
Cannot be drawn in quizlet

19. What are two examples of composit functions?
f of g and g of f
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
The second set of components of an ordered pair

20. what is the formula for slope?
even
(-infinity - +infinity)
Y=IxI
Change in y / change in x = rise / run = y2-y1 / x2-x1

21. What equation does every line have? Discuss the variables.
x2-x1 because the demonaitor of a quotient can never equal zero
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.
zero slope
(-infinity - +infinity)

22. What are the calculator instructions for the cube root function?
45 degree angle
math 4 x - graph
up
f of g and g of f

23. What is a domain?
(f+g) - (f-g) - (fg) - (f/g) all of x
The first set of components of an ordered pair
The single number y=
(-infinity - +infinity)

24. 4x+5x=8x is what type of an equation?
f(x)=3 square root x
(-infinity - 0]U[0 - +infinity)
Conditional
negative inverse

25. What is the range of the cube root function?
f(x)=suare root of x
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)

26. y=f(cx) what does this formula represent?
2nd catalog (zero key -) abs(x) - graph
0<c<1 - horizontal stretching
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Cannot be drawn in quizlet

27. What is the average rate of change formula?
Conditional
f(x2)-f(x1) / x2-x1
The single number y=
45 degree angle

28. What is the range of a square root function?
f(x+h)-f(x)/h h cannot equal zero
Yes because two x's or domains can point to one y
down
[0 -+infinity)

29. What is the standard quadratic function?
identity
20+.05x=5+.10x x=minutes
x^2
no because you cannot have one domain pointing at two y's or ranges

30. What is slope?
parabola
A line passing through two distinct points
45 degree angle
horizontal right

31. Is the square root function odd - even or neither?
even
x math 3 graph
negative slope
neither

32. What is the vertical line test?
up
horizontal
When does a graph not define y as a function of x?
(-infinity - +infinity)

33. $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?
even
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
When does a graph not define y as a function of x?
Set the x and y to zero and get the intercepts and then plot the points

34. Of the seven of algebra's common graph's how many are odd?
As equations
Three odd - cube root - identity - standard cubic
The first set of components of an ordered pair
Approach neg toward x through zero and above positive close to x

35. Standard absolute value - vertical shift formulas for positve and negative
only one
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
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

36. What are the four steps for solving a linear equation?
Cannot be drawn in quizlet
The slope of a line containing two points
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
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.

37. What type of slope do you have when a line rises from left to right and m>0?
even
function notation
up
postiive slope

38. What does the square root function look like on a graph?
up
Line ascending to the right gradually
(-infinity - +infinity)
same

39. x= a real number is what type of equation?
Conditional
Yes because two x's or domains can point to one y
identity
only one

40. What is the domain for an absolute value function?
Piecewise
The opposite coordinates
(-infinity - +infinity)
f(x+c) and f(x-c)

41. What is an identity function?
[0 -+infinity)
Yes - all the domains points to one range
45 degree angle
20+.05x=5+.10x x=minutes

42. Draw or discuss an increasing function
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.
Y
horizontal right
Cannot be drawn in quizlet

43. how many ranges can you have for each domain?
only one
(f+g) - (f-g) - (fg) - (f/g) all of x
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Cannot be drawn in quizlet

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

45. What is the range for an absolute value function?
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.
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)

46. Which direction does f(x+c) move
horizontal left
identity
C>1 - horizontal shrinking
Y=b

47. What is the formula for an identity function?
f(x) = x
f(x)=suare root of x
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
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

48. What is the formula for the cube root function?
x2-x1 because the demonaitor of a quotient can never equal zero
The minimum or maximum points
(-infinity - +infinity)
f(x)=3 square root x

49. What type of slope do you have when m=? and the line is vertical?
Three odd - cube root - identity - standard cubic
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates 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
undefined slope

50. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
When does a graph not define y as a function of x?
perpendicular line
As equations