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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 an identity function?
45 degree angle
Absolute Value - Constant and Standard Quadratic
f(x) = x
f(x)=x^3

2. What are the algebra of functions?
math 4 x - graph
up
f(x+h)-f(x)/h h cannot equal zero
(f+g) - (f-g) - (fg) - (f/g) all of x

3. What is the standard quadratic function?
x^2
undefined
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
no because you cannot have one domain pointing at two y's or ranges

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?
The single number y=
math 4 x - graph
because the demintor of a quotient can never equal zero
x is the hours to repair the boat. $1603-532=anwser/63 = x

5. What type of line is a constant function?
Conditional
horizontal right
1 -2 -3
horizontal

6. What are the calculator instructions for the standard cubic function?
x math 3 graph
up
Yes because two x's or domains can point to one y
undefined

7. What type of slope do horizontal lines have?
neither
The first set of components of an ordered pair
same
Y=x - identity function

8. What is the range of an identity function?
(-infinity - +infinity)
Piecewise
Line ascending to the right gradually
x2-x1 because the demonaitor of a quotient can never equal zero

9. What type of slope do you have when a line falls left to right and m<0?
20+.05x=5+.10x x=minutes
inconsitent
Cannot be drawn in quizlet
negative slope

10. What is another way to write f(x)=x - what type of function is this?
(-infinity - +infinity)
f(x+c) and f(x-c)
Y=x - identity function
A V

11. What are the calculator instructions for absolute value?
45 degree angle
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.
2nd catalog (zero key -) abs(x) - graph
Y=x - identity function

12. Draw or discuss a constant function
inconsitent
Cannot be drawn in quizlet
The opposite coordinates
The slope of a line containing two points

13. What is the range of a square root function?
x2-x1 because the demonaitor of a quotient can never equal zero
perpendicular line
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
[0 -+infinity)

14. What are two examples of composit functions?
f(x^1)=f(x^2)
45 degree angle
even
f of g and g of f

15. What are the calculator instructions for the cube root function?
math 4 x - graph
(-infinity - 0]U[0 - +infinity)
inconsistant
down

16. Is the standard cubic function odd - even or neither?
odd
perpendicular line
even
same

17. how many ranges can you have for each domain?
only one
negative inverse
f(x^1)=f(x^2)
x=a

18. f(x) = x^2+3x+5 - what type of formula is this?
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
x^2
The single number y=
function notation

19. Is an absolute value function even - odd or neither?
even
horizontal right
odd
2nd key - x^2 - graph

20. Which direction does f(x+c) move
Mirror image neg quadrant to that of the positive quandrant
horizontal left
The first set of components of an ordered pair
parabola

21. What is the domain for the standard cubic function?
Y
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - +infinity)
undefined

22. What is the vertex?
The minimum or maximum points
2nd key - x^2 - graph
horizontal left
(-infinity - +infinity)

23. What type of slope do you have when the line is horizontal and m=0?
45 degree angle
Y= then enter the number then press graph
zero slope
inconsitent

24. What is the range for a standard quadratic function?
negative slope
down
4 -6 -9
(-infinity - 0]U[0 - +infinity)

25. Standard absolute value - vertical shift formulas for positve and negative
Y=10
f(x)=+c and f(x)-c
Conditional
math 4 x - graph

26. What does the graph of the cube root function look like on the graph?
The secant line
Approach neg toward x through zero and above positive close to x
Set the x and y to zero and get the intercepts and then plot the points
f(x+c) and f(x-c)

27. What is the domain of an identity function?
inconsitent
20+.05x=5+.10x x=minutes
(-infinity - +infinity)
even

28. What is the range for an absolute value function?
(-infinity - 0]U[0 - +infinity)
Approach neg toward x through zero and above positive close to x
f(x)=IxI
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.

29. What is the horizontal line formula?
Y=b
m
down
Cannot be drawn in quizlet

30. What is the slope intercept formula? Define all the variables.
identity
f(x+c) and f(x-c)
x2-x1 because the demonaitor of a quotient can never equal zero
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

31. Two vertical lines side by side are a symbol for what
Y=x^2 - graph
(-infinity - +infinity)
parraelle line
(-infinity - +infinity)

32. how many domains can you have pointing to one range?
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)
As many as you like
A V

33. 4(x-7)=4x+28 is what type of an equation?
The first set of components of an ordered pair
postiive slope
inconsitent
Any set of ordered pairs

34. What type of line is a constant function?
Y=x - identity function
45 degree angle
Y=10
horizontal

35. What type of line is an identity function?
Three odd - cube root - identity - standard cubic
45 degree angle
undefined
A V

36. What are the calculator instructions for a standard quadratic equation?
undefined slope
Y=x^2 - graph
(-infinity - +infinity)
As many as you like

37. What is another way of writing the absolute value function?
Y=b
Y=IxI
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

38. What is the domain of a square root function?
f(x+c) and f(x-c)
Y=IxI
[0 -+infinity)
The first set of components of an ordered pair

39. What equation does every line have? Discuss the variables.
(-infinity - +infinity)
(-infinity - 0]U[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.
Mirror image neg quadrant to that of the positive quandrant

40. What does the average rate of change formula solve?
The slope of a line containing two points
inconsitent
perpendicular line
odd

41. Is a constant function even - odd or neither?
A line passing through two distinct points
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
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

42. What is the formula for to calculate the difference of a quotient function?
As many as you like
f(x+h)-f(x)/h h cannot equal zero
20+.05x=5+.10x x=minutes
f(x)=IxI

43. What is the average rate of change formula?
f(x2)-f(x1) / x2-x1
C>1 - horizontal shrinking
even
[0 -+infinity)

44. Draw or discuss an increasing function
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.
Cannot be drawn in quizlet
Yes - all the domains points to one range

45. What is the domain for a standard quadratic function?
f(x)=x^3
(-infinity - +infinity)
The opposite coordinates
f(x)=+c and f(x)-c

46. What are the calculator instructions for a square root function?
C>1 - horizontal shrinking
f(x)=+c and f(x)-c
2nd key - x^2 - graph
odd

47. What is the formula for an identity function?
When does a graph not define y as a function of x?
horizontal left
Y=b
f(x) = x

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

49. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
parabola - up one and right three
only one
4 -6 -9
2nd key - x^2 - graph

50. Of the seven of algebra's common graph's how many are even?
Y=x - identity function
45 degree angle
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)