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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 type of line is a constant function?
(-infinity - +infinity)
horizontal
The slope of a line containing two points
Y=10

2. Why can h not equal zero in the difference of a quotient function formula?
inconsistant
(-infinity - +infinity)
Line ascending to the right gradually
because the demintor of a quotient can never equal zero

3. What type of slope do you have when the line is horizontal and m=0?
Y
[0 -+infinity)
(-infinity - 0]U[0 - +infinity)
zero slope

4. What does the standard cubic function look like on a graph?
4 -6 -9
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)

5. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
Yes because two x's or domains can point to one y
parraelle line
Conditional

6. What is the range of a square root function?
[0 -+infinity)
undefined
horizontal left
horizontal

7. What does linear equation mean?
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
(-infinity - 0]U[0 - +infinity)
zero slope
Equation of a line

8. What is another way to write f(x)=x - what type of function is this?
Conditional
(-infinity - +infinity)
horizontal
Y=x - identity function

9. what is the letter used to represent slope?
(-infinity - +infinity)
(-infinity - +infinity)
m
undefined slope

10. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
Conditional
(-infinity - 0]U[0 - +infinity)
same

11. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
[0 -+infinity)
negative slope
x2-x1 because the demonaitor of a quotient can never equal zero

12. How would this formula move f(x)=(x+1)^2-3
parabola - up one and right three
Three odd - cube root - identity - standard cubic
f of g and g of f
Y=10

13. A flat line underlining one vertical line is a symbol for
perpendicular line
Y=10
45 degree angle
identity

14. What is the range of the cube root function?
(-infinity - +infinity)
inconsistant
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
2nd catalog (zero key -) abs(x) - graph

15. What is the domain of a square root function?
(-infinity - +infinity)
x math 3 graph
f of g and g of f
[0 -+infinity)

16. Is a standard quadratic function even - odd or neither?
undefined slope
even
Y=x^2 - graph
same

17. Which direction does f(x)=+c move in standard absolute value formula?
up
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
perpendicular line
f(x)=+c and f(x)-c

18. What is a constant function?
C>1 - horizontal shrinking
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
Y
f(x^1)=f(x^2)

19. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Y=x^2 - graph
The secant line
The opposite coordinates
Approach neg toward x through zero and above positive close to x

20. What is the range for an absolute value function?
horizontal left
f(x)=3 square root x
20+.05x=5+.10x x=minutes
(-infinity - 0]U[0 - +infinity)

21. What is a function?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
[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
The opposite coordinates

22. What is the average rate of change formula?
x^2
f(x2)-f(x1) / x2-x1
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - 0]U[0 - +infinity)

23. 4(x-7)=4x-28 is what type of an equation?
The second set of components of an ordered pair
Absolute Value - Constant and Standard Quadratic
f(x+c) and f(x-c)
identity

24. Is an identity function even - odd or neither?
parraelle line
(-infinity - +infinity)
odd
f(x+h)-f(x)/h h cannot equal zero

25. What shape is the standard quadratic function?
f(x)=IxI
parraelle line
inconsistant
parabola

26. What is the range for the standard cubic function?
inconsistant
horizontal
(-infinity - +infinity)
f(x)=IxI

27. What is the formula for the cube root function?
(-infinity - +infinity)
x2-x1 because the demonaitor of a quotient can never equal zero
Y=IxI
f(x)=3 square root x

28. What is the slope of a perpendicular line?
negative inverse
same
x2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)

29. What are the calculator instructions for a standard quadratic equation?
1 -2 -3
As equations
Y=x^2 - graph
undefined

30. Standard absolute value - horizontal shift formulas for left and right
The minimum or maximum points
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The first set of components of an ordered pair
f(x+c) and f(x-c)

31. What type of slope do vertical lines have?
undefined
even
f(x^1)=f(x^2)
Conditional

32. What is the domain for a standard quadratic function?
4 -6 -9
(-infinity - +infinity)
The opposite coordinates
45 degree angle

33. What points do you use to plot the inverse on a graph?
As many as you like
2nd key - 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
The opposite coordinates

34. What is the domain and range of a constant function?
Y= then enter the number then press graph
m
The secant line
(-infinity - +infinity)

35. 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
(f+g) - (f-g) - (fg) - (f/g) all of x
parraelle line
function notation

36. What is the range of an identity function?
x is the hours to repair the boat. $1603-532=anwser/63 = x
f(x)=3 square root x
negative slope
(-infinity - +infinity)

37. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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
down
2nd catalog (zero key -) abs(x) - graph
f(x+c) and f(x-c)

38. What are two examples of composit functions?
undefined slope
C>1 - horizontal shrinking
f of g and g of f
4 -6 -9

39. Which direction does f(x+c) move
horizontal left
Any set of ordered pairs
up
math 4 x - graph

40. What is the formula in both horizontal stretching and horizontal shrinking?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
x^2
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - 0]U[0 - +infinity)

41. x=no real numbers is what type of an equation?
Cannot be drawn in quizlet
identity
inconsistant
odd

42. $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?
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
Yes because two x's or domains can point to one y
Three odd - cube root - identity - standard cubic
f(x)=+c and f(x)-c

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

44. What are the four steps for solving a linear equation?
(-infinity - +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.
Three odd - cube root - identity - standard cubic
C>1 - horizontal shrinking

45. What is the formula for to calculate the difference of a quotient 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.
f(x+h)-f(x)/h h cannot equal zero
parraelle line
Equation of a line

46. What are the calculator instructions for the standard cubic function?
x math 3 graph
negative slope
(-infinity - +infinity)
Cannot be drawn in quizlet

47. 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?
x is the hours to repair the boat. $1603-532=anwser/63 = x
odd
down
f of g and g of f

48. What is the formula for an identity function?
f of g and g of f
Conditional
f(x) = x
20+.05x=5+.10x x=minutes

49. What is the domain of an identity function?
f(x+h)-f(x)/h h cannot equal zero
A V
The minimum or maximum points
(-infinity - +infinity)

50. How are functions normally written?
Y=10
down
Piecewise
As equations