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Test your basic knowledge |

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 the range of an identity function?
parabola
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)
f(x+h)-f(x)/h h cannot equal zero

2. Which direction does f(x+c) move
horizontal left
(-infinity - 0]U[0 - +infinity)
negative inverse
no because you cannot have one domain pointing at two y's or ranges

3. What shape is the standard quadratic function?
Y=10
m
parabola
(-infinity - +infinity)

4. What is slope?
The opposite coordinates
A line passing through two distinct points
Mirror image neg quadrant to that of the positive quandrant
f(x)=+c and f(x)-c

5. What type of line is an identity function?
x^2
45 degree angle
(-infinity - +infinity)
Yes because two x's or domains can point to one y

6. What is the domain for the standard cubic function?
odd
(-infinity - +infinity)
Cannot be drawn in quizlet
2nd catalog (zero key -) abs(x) - graph

7. Is a constant function even - odd or neither?
negative slope
inconsistant
Conditional
even

8. What is the formula for the cube root function?
f(x)=3 square root x
function notation
negative slope
identity

9. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
When does a graph not define y as a function of x?
4 -6 -9
The secant line
because the demintor of a quotient can never equal zero

10. What type of slope do you have when a line falls left to right and m<0?
x math 3 graph
negative slope
parabola
Y=x - identity function

11. what is the letter used to represent slope?
x=a
up
(-infinity - +infinity)
m

12. What is another way to write f(x)=x - what type of function is this?
x2-x1 because the demonaitor of a quotient can never equal zero
up
Square Root
Y=x - identity function

13. what is a range?
identity
2nd key - x^2 - graph
(-infinity - 0]U[0 - +infinity)
The second set of components of an ordered pair

14. What is the average rate of change formula?
Yes - all the domains points to one range
m
identity
f(x2)-f(x1) / x2-x1

15. What is the standard quadratic function?
inconsitent
x2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)
x^2

16. Draw or discuss a decreasing function
Conditional
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
Cannot be drawn in quizlet

17. Which direction does f(x-c) move
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
horizontal right
postiive slope
horizontal left

18. what can never equal zero in the slope formula and why?
x2-x1 because the demonaitor of a quotient can never equal zero
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
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
Y=x^2 - graph

19. Is the standard cubic function odd - even or neither?
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
odd
up

20. What type of function would you use to calculate the most advantageous cell phone plan?
The minimum or maximum points
Piecewise
undefined
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

21. What is the slope of a perpendicular line?
The second set of components of an ordered pair
0<c<1 - horizontal stretching
Any set of ordered pairs
negative inverse

22. What is the range for a standard quadratic function?
Y=IxI
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 - 0]U[0 - +infinity)
f(x^1)=f(x^2)

23. In an identity function if f(10)=x than what is y?
Y=10
f of g and g of f
even
Cannot be drawn in quizlet

24. What is the formula for the square root function?
(f+g) - (f-g) - (fg) - (f/g) all of x
f(x)=suare root of x
f(x2)-f(x1) / x2-x1
Cannot be drawn in quizlet

25. Is a standard quadratic function even - odd or neither?
even
Mirror image neg quadrant to that of the positive quandrant
2nd key - x^2 - graph
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.

26. What is the formula for to calculate the difference of a quotient function?
in a quotient
Y=b
Yes - all the domains points to one range
f(x+h)-f(x)/h h cannot equal zero

27. how many ranges can you have for each domain?
x = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)
Line ascending to the right gradually
only one

28. What can we substitute for f(x)?
(-infinity - +infinity)
Y
even
Any set of ordered pairs

29. What is the line called that illustrates the straight line between the two points when showing average rate of change?
up
parabola - up one and right three
The secant line
odd

30. What is the vertical line test?
undefined slope
When does a graph not define y as a function of x?
As equations
[0 -+infinity)

31. Which direction does f(x)=+c move in standard absolute value formula?
no because you cannot have one domain pointing at two y's or ranges
(-infinity - +infinity)
The single number y=
up

32. y=f(cx) - what does this formula represent?
C>1 - horizontal shrinking
up
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)

33. f(x) = x^2+3x+5 - what type of formula is this?
only one
function notation
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
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.

34. What is the slope intercept formula? Define all the variables.
The opposite coordinates
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
even

35. A flat line underlining one vertical line is a symbol for
Y=x^2 - graph
As equations
perpendicular line
(-infinity - +infinity)

36. What type of slope do you have when a line rises from left to right and m>0?
identity
Square Root
postiive slope
0<c<1 - horizontal stretching

37. Draw or discuss a constant function
Cannot be drawn in quizlet
Set the x and y to zero and get the intercepts and then plot the points
The secant 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

38. What is the formula for an identity function?
2nd catalog (zero key -) abs(x) - graph
1 -2 -3
f(x) = x
x math 3 graph

39. $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?
zero slope
perpendicular line
identity
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

40. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
45 degree angle
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)
same

41. What is the formula in both horizontal stretching and horizontal shrinking?
Three odd - cube root - identity - standard cubic
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
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 - +infinity)

42. What type of slope do horizontal lines have?
even
same
undefined
(-infinity - 0]U[0 - +infinity)

43. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
horizontal
(-infinity - +infinity)
20+.05x=5+.10x x=minutes
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

44. What direction does f(x)-c move in standard absolute value formula?
(-infinity - +infinity)
same
(-infinity - +infinity)
down

45. What is the vertical line formula?
x=a
The secant line
(-infinity - +infinity)
neither

46. Is an identity function even - odd or neither?
undefined
odd
Yes - all the domains points to one range
Three odd - cube root - identity - standard cubic

47. Is the square root function odd - even or neither?
neither
even
45 degree angle
f of g and g of f

48. What is the range of the cube root function?
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic
f(x)=suare root of x
parabola - up one and right three

49. how many domains can you have pointing to one range?
f(x+h)-f(x)/h h cannot equal zero
identity
As many as you like
x=a

50. What is the range for an absolute value function?
Y=IxI
Conditional
(-infinity - 0]U[0 - +infinity)
Y=x - identity function