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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 does the standard cubic function look like on a graph?
even
Mirror image neg quadrant to that of the positive quandrant
f(x+h)-f(x)/h h cannot equal zero
The opposite coordinates

2. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Yes because two x's or domains can point to one y
Equation of a 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
f(x)=3 square root x

3. What points do you use to plot the inverse on a graph?
The opposite coordinates
horizontal left
(f+g) - (f-g) - (fg) - (f/g) all of x
Three odd - cube root - identity - standard cubic

4. What is the line called that illustrates the straight line between the two points when showing average rate of change?
parabola
The secant line
Y=x^2 - graph
f(x2)-f(x1) / x2-x1

5. What direction does f(x)-c move in standard absolute value formula?
odd
parabola - up one and right three
Three odd - cube root - identity - standard cubic
down

6. What does the graph of the cube root function look like on the graph?
2nd key - x^2 - graph
Approach neg toward x through zero and above positive close to x
As many as you like
A V

7. y=f(cx) what does this formula represent?
0<c<1 - horizontal stretching
As equations
horizontal right
Cannot be drawn in quizlet

8. Two vertical lines side by side are a symbol for what
parraelle line
parabola - up one and right three
[0 -+infinity)
Y=10

9. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
45 degree angle
Yes - all the domains points to one range
f(x)=+c and f(x)-c
odd

10. f(x) = x^2+3x+5 - what type of formula is this?
odd
function notation
f of g and g of f
20+.05x=5+.10x x=minutes

11. What are the calculator instructions for the cube root function?
math 4 x - graph
f of g and g of f
horizontal left
Yes because two x's or domains can point to one y

12. When is the only time (-infinity - +infinity) is not the domain?
down
in a quotient
inconsitent
Cannot be drawn in quizlet

13. What is the formula for the cube root function?
horizontal
The second set of components of an ordered pair
f(x)=3 square root x
f(x^1)=f(x^2)

14. 4x+5x=8x is what type of an equation?
identity
up
math 4 x - graph
Conditional

15. Draw or discuss an increasing function
function notation
undefined
45 degree angle
Cannot be drawn in quizlet

16. What type of line is a constant function?
Y=IxI
down
horizontal
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

17. What is the slope intercept formula? Define all the variables.
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
zero slope
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

18. Is the standard cubic function odd - even or neither?
Conditional
f(x)=+c and f(x)-c
odd
1 -2 -3

19. What type of slope do horizontal lines have?
identity
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
no because you cannot have one domain pointing at two y's or ranges
same

20. Is the square root function odd - even or neither?
f(x)=x^3
neither
Approach neg toward x through zero and above positive close to x
math 4 x - graph

21. What type of slope do you have when m=? and the line is vertical?
horizontal right
undefined slope
(-infinity - 0]U[0 - +infinity)
f(x)=+c and f(x)-c

22. What are the calculator instructions for a standard quadratic equation?
Equation of a line
x is the hours to repair the boat. $1603-532=anwser/63 = x
Y=x^2 - graph
2nd catalog (zero key -) abs(x) - graph

23. What can we substitute for f(x)?
Y
odd
negative inverse
(-infinity - +infinity)

24. What is another way to write f(x)=x - what type of function is this?
x math 3 graph
Conditional
Y=x - identity function
(-infinity - +infinity)

25. What type of slope do you have when a line rises from left to right and m>0?
Any set of ordered pairs
postiive slope
identity
(-infinity - +infinity)

26. Which direction does f(x)=+c move in standard absolute value formula?
up
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
math 4 x - graph
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

27. What are the calculator instructions for the standard cubic function?
The secant line
undefined
x math 3 graph
f(x2)-f(x1) / x2-x1

28. Why can h not equal zero in the difference of a quotient function formula?
Y=x^2 - graph
(-infinity - +infinity)
because the demintor of a quotient can never equal zero
parraelle line

29. What are the calculator instructions for a square root function?
Y=x^2 - graph
even
inconsitent
2nd key - x^2 - graph

30. What is the formula for to calculate the difference of a quotient function?
The slope of a line containing two points
f(x+h)-f(x)/h h cannot equal zero
x2-x1 because the demonaitor of a quotient can never equal zero
undefined slope

31. What is the range for the standard cubic function?
even
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Line ascending to the right gradually
(-infinity - +infinity)

32. What is the range of an identity function?
f of g and g of f
(-infinity - +infinity)
no because you cannot have one domain pointing at two y's or ranges
odd

33. What does the square root function look like on a graph?
Piecewise
odd
Line ascending to the right gradually
Y=b

34. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
x=a
Change in y / change in x = rise / run = y2-y1 / x2-x1
even

35. How do you graph Ax+By+C=0?
Y=b
Set the x and y to zero and get the intercepts and then plot the points
The single number y=
Conditional

36. x=no real numbers is what type of an equation?
x math 3 graph
even
postiive slope
inconsistant

37. What is the vertex?
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
f(x)=IxI
The minimum or maximum points
The slope of a line containing two points

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

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39. Of the seven of algebra's common graph's how many are odd?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)
Conditional

40. What does linear equation mean?
even
As equations
Y=IxI
Equation of a line

41. What is the slope of a perpendicular line?
function notation
negative inverse
Yes - all the domains points to one range
1 -2 -3

42. What is the formula for an absolute value function?
in a quotient
neither
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(x)=IxI

43. How do you calculate a constant function in your calculator?
[0 -+infinity)
undefined
Y= then enter the number then press graph
f(x)=x^3

44. Of the seven of algebra's common graph's how many are even?
The second set of components of an ordered pair
Y=x - identity function
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)

45. A flat line underlining one vertical line is a symbol for
(-infinity - +infinity)
even
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
perpendicular line

46. What type of line is an identity function?
even
horizontal
horizontal left
45 degree angle

47. What is the range of the cube root function?
odd
Equation of a line
(-infinity - +infinity)
Yes because two x's or domains can point to one y

48. What is the formula in both horizontal stretching and horizontal shrinking?
Yes because two x's or domains can point to one y
Y=10
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
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.

49. What is the range of the constant function?
neither
The single number y=
perpendicular line
f of g and g of f

50. What are the calculator instructions for absolute value?
(-infinity - +infinity)
Y=b
The second set of components of an ordered pair
2nd catalog (zero key -) abs(x) - graph