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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 the average rate of change formula?
Piecewise
no because you cannot have one domain pointing at two y's or ranges
f(x2)-f(x1) / x2-x1
inconsitent

2. f(x) = x^2+3x+5 - what type of formula is this?
Equation of a line
function notation
parraelle line
Y=b

3. What are the calculator instructions for the cube root function?
math 4 x - graph
up
negative inverse
Absolute Value - Constant and Standard Quadratic

4. What type of slope do you have when m=? and the line is vertical?
C>1 - horizontal shrinking
undefined slope
inconsistant
f(x+c) and f(x-c)

5. Draw or discuss a decreasing function
Cannot be drawn in quizlet
The slope of a line containing two points
4 -6 -9
Line ascending to the right gradually

6. What is the domain for the standard cubic function?
As many as you like
Conditional
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

7. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
(-infinity - +infinity)
f(x)=x^3
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-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

8. Is an absolute value function even - odd or neither?
x math 3 graph
even
negative slope
Absolute Value - Constant and Standard Quadratic

9. What direction does f(x)-c move in standard absolute value formula?
2nd key - x^2 - graph
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.
parraelle line
down

10. What is the domain for an absolute value function?
(-infinity - +infinity)
horizontal right
x^2
The minimum or maximum points

11. What is the formula for the square root function?
only one
f(x)=suare root of x
Conditional
function notation

12. Is the square root function odd - even or neither?
x^2
Yes - all the domains points to one range
parraelle line
neither

13. What equation does every line have? Discuss the variables.
even
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.
f of g and g of f
inconsitent

14. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
A V
4 -6 -9
The opposite coordinates
(-infinity - +infinity)

15. What is the formula for the standard cubic function?
Square Root
in a quotient
f(x)=x^3
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.

16. What are two examples of composit functions?
Mirror image neg quadrant to that of the positive quandrant
f of g and g of f
f(x)=+c and f(x)-c
Cannot be drawn in quizlet

17. Is a constant function even - odd or neither?
even
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Mirror image neg quadrant to that of the positive quandrant

18. 4x+5x=8x is what type of an equation?
Square Root
Change in y / change in x = rise / run = y2-y1 / x2-x1
Conditional
(-infinity - +infinity)

19. What is the slope of a perpendicular line?
Y=b
negative inverse
(f+g) - (f-g) - (fg) - (f/g) all of x
inconsistant

20. What can we substitute for f(x)?
f(x)=x^3
f(x^1)=f(x^2)
Y=x^2 - graph
Y

21. When is the only time (-infinity - +infinity) is not the domain?
even
in a quotient
(-infinity - +infinity)
math 4 x - graph

22. What is a relation?
parabola
Any set of ordered pairs
[0 -+infinity)
horizontal

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

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24. y=f(cx) what does this formula represent?
f(x2)-f(x1) / x2-x1
0<c<1 - horizontal stretching
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
horizontal

25. What does the graph of the cube root function look like on the graph?
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
parabola - up one and right three
Approach neg toward x through zero and above positive close to x
horizontal left

26. x=no real numbers is what type of an equation?
negative inverse
horizontal
inconsistant
(-infinity - +infinity)

27. What is the formula in both horizontal stretching and horizontal shrinking?
As many as you like
inconsitent
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y=IxI

28. x= a real number is what type of equation?
f(x)=suare root of x
negative slope
horizontal
Conditional

29. How are functions normally written?
4 -6 -9
As equations
The second set of components of an ordered pair
f(x2)-f(x1) / x2-x1

30. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)
f(x)=+c and f(x)-c
only one

31. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
even
20+.05x=5+.10x x=minutes
even
horizontal

32. Is the standard cubic function odd - even or neither?
As equations
(f+g) - (f-g) - (fg) - (f/g) all of x
odd
(-infinity - +infinity)

33. What are the calculator instructions for absolute value?
same
because the demintor of a quotient can never equal zero
2nd catalog (zero key -) abs(x) - graph
undefined slope

34. A flat line underlining one vertical line is a symbol for
When does a graph not define y as a function of x?
f(x^1)=f(x^2)
45 degree angle
perpendicular line

35. What is the slope intercept formula? Define all the variables.
x is the hours to repair the boat. $1603-532=anwser/63 = x
zero slope
even
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

36. What is the horizontal line formula?
inconsistant
Y=b
down
The single number y=

37. What is the domain of a square root function?
A V
x=a
[0 -+infinity)
odd

38. y=f(cx) - what does this formula represent?
(-infinity - +infinity)
Piecewise
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

39. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
x = the original sale price and the formula is x - .40x =$276
f(x^1)=f(x^2)
A line passing through two distinct points
negative slope

40. What is the domain of the cube root function?
horizontal
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)
identity

41. Standard absolute value - horizontal shift formulas for left and right
parabola
undefined slope
f(x+c) and f(x-c)
f(x)=x^3

42. how many domains can you have pointing to one range?
Y
no because you cannot have one domain pointing at two y's or ranges
As many as you like
f of g and g of f

43. 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.
(-infinity - +infinity)
Y=10

44. x=all real numbers is what type of an equation?
f(x2)-f(x1) / x2-x1
even
identity
(-infinity - +infinity)

45. What is the range of an identity function?
undefined
Absolute Value - Constant and Standard Quadratic
even
(-infinity - +infinity)

46. What type of slope do horizontal lines have?
When does a graph not define y as a function of x?
Cannot be drawn in quizlet
same
f(x)=IxI

47. What is a domain?
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - 0]U[0 - +infinity)
The first set of components of an ordered pair
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

48. What type of line is an identity function?
As many as you like
Cannot be drawn in quizlet
45 degree angle
A V

49. What type of function would you use to calculate the most advantageous cell phone plan?
f(x+h)-f(x)/h h cannot equal zero
The slope of a line containing two points
Piecewise
horizontal

50. What is the range of the cube root function?
(-infinity - +infinity)
45 degree angle
(-infinity - 0]U[0 - +infinity)
0<c<1 - horizontal stretching