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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?
As many as you like
horizontal
Conditional
f(x)=x^3

2. Which direction does f(x-c) move
math 4 x - graph
horizontal right
f(x2)-f(x1) / x2-x1
(-infinity - +infinity)

3. What type of slope do you have when m=? and the line is vertical?
undefined slope
f(x+h)-f(x)/h h cannot equal zero
45 degree angle
x = the original sale price and the formula is x - .40x =$276

4. how many ranges can you have for each domain?
0<c<1 - horizontal stretching
zero slope
parabola - up one and right three
only one

5. What is the point slope formula and when do you use it?
Mirror image neg quadrant to that of the positive quandrant
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Piecewise
inconsitent

6. What does the average rate of change formula solve?
The slope of a line containing two points
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
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^2

7. What is another way to write f(x)=x - what type of function is this?
up
even
Y=x - identity function
negative slope

8. What equation does every line have? Discuss the variables.
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.
[0 -+infinity)
undefined
identity

9. What is the domain and range of a constant function?
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
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
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.

10. What is the domain of the cube root function?
Y=10
inconsistant
(-infinity - +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

11. What is the range for the standard cubic function?
f(x+h)-f(x)/h h cannot equal zero
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
function notation
(-infinity - +infinity)

12. Is an absolute value function even - odd or neither?
f(x)=suare root of x
even
The minimum or maximum points
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

13. Is a constant function even - odd or neither?
C>1 - horizontal shrinking
[0 -+infinity)
Y=IxI
even

14. Draw or discuss an increasing function
Yes - all the domains points to one range
Cannot be drawn in quizlet
parabola - up one and right three
Y

15. What is the standard quadratic function?
parabola
f(x+h)-f(x)/h h cannot equal zero
x^2
A V

16. What is a constant function?
f(x^1)=f(x^2)
The first set of components of an ordered pair
(-infinity - +infinity)
identity

17. What is the domain for the standard cubic function?
(-infinity - +infinity)
2nd key - x^2 - graph
[0 -+infinity)
Absolute Value - Constant and Standard Quadratic

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

19. 4x+5x=8x is what type of an equation?
Piecewise
Conditional
identity
Y=10

20. What is the range of the cube root function?
(-infinity - +infinity)
in a quotient
negative slope
f(x) = x

21. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)
f(x+h)-f(x)/h h cannot equal zero
Any set of ordered pairs

22. What is the range of the constant function?
down
(-infinity - +infinity)
The single number y=
[0 -+infinity)

23. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
Line ascending to the right gradually
As many as you like
The opposite coordinates

24. 4(x-7)=4x-28 is what type of an equation?
Y= then enter the number then press graph
inconsitent
identity
A V

25. What is a relation?
horizontal left
Any set of ordered pairs
When does a graph not define y as a function of x?
function notation

26. What is the vertex?
parabola
The minimum or maximum points
Absolute Value - Constant and Standard Quadratic
As many as you like

27. What is the slope intercept formula? Define all the variables.
identity
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
f(x+h)-f(x)/h h cannot equal zero

28. What is the range of an identity function?
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
1 -2 -3
identity

29. What is the formula for to calculate the difference of a quotient function?
f(x+h)-f(x)/h h cannot equal zero
[0 -+infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
same

30. What are the calculator instructions for absolute value?
inconsitent
The slope of a line containing two points
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph

31. how many domains can you have pointing to one range?
Cannot be drawn in quizlet
up
As many as you like
Square Root

32. Is a standard quadratic function even - odd or neither?
even
zero slope
horizontal
f(x+c) and f(x-c)

33. What is slope?
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.
[0 -+infinity)
x2-x1 because the demonaitor of a quotient can never equal zero
A line passing through two distinct points

34. What is the formula for the cube root function?
zero slope
Cannot be drawn in quizlet
f(x)=3 square root x
(-infinity - +infinity)

35. How would this formula move f(x)=(x+1)^2-3
(-infinity - +infinity)
parabola - up one and right three
Mirror image neg quadrant to that of the positive quandrant
same

36. A flat line underlining one vertical line is a symbol for
perpendicular line
When does a graph not define y as a function of x?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
negative inverse

37. 4(x-7)=4x+28 is what type of an equation?
inconsitent
(-infinity - +infinity)
(-infinity - +infinity)
Line ascending to the right gradually

38. Draw or discuss a constant function
Cannot be drawn in quizlet
0<c<1 - horizontal stretching
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)

39. f(x) = x^2+3x+5 - what type of formula is this?
(-infinity - +infinity)
f of g and g of f
Y=x - identity function
function notation

40. Is an identity function even - odd or neither?
in a quotient
even
A line passing through two distinct points
odd

41. What does the absolute value function look like?
Three odd - cube root - identity - standard cubic
f of g and g of f
A V
[0 -+infinity)

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 = the original sale price and the formula is x - .40x =$276
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
C>1 - horizontal shrinking
Change in y / change in x = rise / run = y2-y1 / x2-x1

43. what is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)
horizontal
undefined

44. What does linear equation mean?
even
Y=x - identity function
Equation of a line
45 degree angle

45. what is a range?
The second set of components of an ordered pair
Y=IxI
Equation of a line
neither

46. What type of slope do you have when a line rises from left to right and m>0?
(-infinity - +infinity)
postiive slope
same
A line passing through two distinct points

47. What does the graph of the cube root function look like on the graph?
Approach neg toward x through zero and above positive close to x
x is the hours to repair the boat. $1603-532=anwser/63 = x
x=a
x2-x1 because the demonaitor of a quotient can never equal zero

48. Is the standard cubic function odd - even or neither?
f(x)=suare root of x
f(x)=x^3
odd
parabola - up one and right three

49. What type of slope do horizontal lines have?
undefined
same
The opposite coordinates
only one

50. what can never equal zero in the slope formula and why?
Conditional
x2-x1 because the demonaitor of a quotient can never equal zero
[0 -+infinity)
up