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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 shape is the standard quadratic function?
parabola
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.
Line ascending to the right gradually
undefined

2. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)
[0 -+infinity)
because the demintor of a quotient can never equal zero

3. Of the seven of algebra's common graph's how many are neither?
f(x+c) and f(x-c)
even
(-infinity - +infinity)
Square Root

4. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
Piecewise
0<c<1 - horizontal stretching
4 -6 -9

5. What is the range for the standard cubic function?
f(x)=IxI
(-infinity - +infinity)
As many as you like
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 domain for the standard cubic function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Conditional
(-infinity - +infinity)
The minimum or maximum points

7. 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?
undefined
Y= then enter the number then press graph
x2-x1 because the demonaitor of a quotient can never equal zero
x is the hours to repair the boat. $1603-532=anwser/63 = x

8. Standard absolute value - horizontal shift formulas for left and right
horizontal right
f(x)=x^3
f(x+c) and f(x-c)
perpendicular line

9. Draw or discuss a decreasing function
parabola
zero slope
(f+g) - (f-g) - (fg) - (f/g) all of x
Cannot be drawn in quizlet

10. What are the calculator instructions for a standard quadratic equation?
(-infinity - +infinity)
Y=x^2 - graph
4 -6 -9
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

11. What is the formula for an absolute value function?
[0 -+infinity)
The minimum or maximum points
inconsistant
f(x)=IxI

12. What type of line is an identity function?
Square Root
(-infinity - +infinity)
45 degree angle
x^2

13. What points do you use to plot the inverse on a graph?
neither
(-infinity - +infinity)
f(x^1)=f(x^2)
The opposite coordinates

14. What are the calculator instructions for the standard cubic function?
parabola
Y=b
x math 3 graph
Absolute Value - Constant and Standard Quadratic

15. What type of slope do you have when m=? and the line is vertical?
Conditional
undefined slope
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

16. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
20+.05x=5+.10x x=minutes
even
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
negative inverse

17. 4(x-7)=4x-28 is what type of an equation?
Conditional
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 of g and g of f
identity

18. Draw or discuss a constant function
(-infinity - 0]U[0 - +infinity)
Cannot be drawn in quizlet
odd
4 -6 -9

19. What is another way of writing the absolute value function?
Piecewise
x is the hours to repair the boat. $1603-532=anwser/63 = x
Y=IxI
(-infinity - +infinity)

20. What does the square root function look like on a graph?
Y= then enter the number then press graph
(-infinity - +infinity)
Conditional
Line ascending to the right gradually

21. y=f(cx) - what does this formula represent?
C>1 - horizontal shrinking
negative slope
Y= then enter the number then press graph
Any set of ordered pairs

22. What is the horizontal line formula?
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
Y=b
45 degree angle

23. 4(x-7)=4x+28 is what type of an equation?
45 degree angle
inconsitent
no because you cannot have one domain pointing at two y's or ranges
neither

24. What are two examples of composit functions?
Cannot be drawn in quizlet
postiive slope
(-infinity - +infinity)
f of g and g of f

25. What is the range of an identity 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.
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
(-infinity - +infinity)
Y= then enter the number then press graph

26. What is the domain and range of a constant function?
Y=x - identity function
f(x+c) and f(x-c)
(-infinity - +infinity)
identity

27. What is the standard quadratic function?
horizontal
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
x^2
math 4 x - graph

28. What is another way to write f(x)=x - what type of function is this?
Equation of a line
x=a
Y=x - identity function
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

29. How would this formula move f(x)=(x+1)^2-3
parabola - up one and right three
(-infinity - +infinity)
The opposite coordinates
4 -6 -9

30. What type of slope do horizontal lines have?
Conditional
f(x) = x
same
(-infinity - +infinity)

31. What is the slope of a perpendicular line?
identity
Yes - all the domains points to one range
negative inverse
(-infinity - +infinity)

32. What is the domain for an absolute value function?
(-infinity - +infinity)
perpendicular line
even
negative slope

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

34. What is a domain?
Conditional
horizontal left
The first set of components of an ordered pair
up

35. What type of function would you use to calculate the most advantageous cell phone plan?
f(x)=3 square root x
Conditional
Piecewise
45 degree angle

36. When is the only time (-infinity - +infinity) is not the domain?
horizontal
in a quotient
(-infinity - +infinity)
horizontal left

37. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
even
f(x+c) and f(x-c)
odd

38. What type of slope do vertical lines have?
Conditional
4 -6 -9
undefined
perpendicular line

39. Is the square root function odd - even or neither?
same
neither
perpendicular line
undefined slope

40. how many ranges can you have for each domain?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
When does a graph not define y as a function of x?
only one
(f+g) - (f-g) - (fg) - (f/g) all of x

41. What is the vertical line test?
When does a graph not define y as a function of x?
up
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
same

42. y=f(cx) what does this formula represent?
0<c<1 - horizontal stretching
f(x+c) and f(x-c)
only one
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

43. What is an identity function?
Piecewise
45 degree angle
identity
Cannot be drawn in quizlet

44. What is the range of the cube root function?
(-infinity - +infinity)
f(x)=x^3
odd
Absolute Value - Constant and Standard Quadratic

45. What is the domain of the cube root function?
even
Piecewise
f(x^1)=f(x^2)
(-infinity - +infinity)

46. Is the standard cubic function odd - even or neither?
[0 -+infinity)
f(x)=3 square root x
neither
odd

47. What is the formula for the square root function?
x is the hours to repair the boat. $1603-532=anwser/63 = x
Y=IxI
Cannot be drawn in quizlet
f(x)=suare root of x

48. Is an identity function even - odd or neither?
[0 -+infinity)
odd
up
Square Root

49. What is the slope intercept formula? Define all the variables.
As many as you like
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
A line passing through two distinct points
x^2

50. What type of line is a constant function?
horizontal
Yes - all the domains points to one range
2nd key - x^2 - graph
Y=x - identity function