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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. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
Yes - all the domains points to one range
Mirror image neg quadrant to that of the positive quandrant
f(x2)-f(x1) / x2-x1
20+.05x=5+.10x x=minutes

2. What is a relation?
Set the x and y to zero and get the intercepts and then plot the points
Any set of ordered pairs
The opposite coordinates
x = the original sale price and the formula is x - .40x =$276

3. how many domains can you have pointing to one range?
zero slope
(-infinity - +infinity)
As many as you like
f(x+h)-f(x)/h h cannot equal zero

4. what is the formula for slope?
neither
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Change in y / change in x = rise / run = y2-y1 / x2-x1
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

5. What is the vertical line formula?
f(x+h)-f(x)/h h cannot equal zero
x=a
Cannot be drawn in quizlet
x2-x1 because the demonaitor of a quotient can never equal zero

6. What is the vertex?
The minimum or maximum points
Three odd - cube root - identity - standard cubic
Cannot be drawn in quizlet
(-infinity - +infinity)

7. 4x+5x=8x is what type of an equation?
up
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.
Conditional

8. Of the seven of algebra's common graph's how many are odd?
Line ascending to the right gradually
even
f(x) = x
Three odd - cube root - identity - standard cubic

9. What does the average rate of change formula solve?
undefined
The slope of a line containing two points
x^2
(-infinity - +infinity)

10. What is the horizontal line formula?
Conditional
Cannot be drawn in quizlet
Y=b
identity

11. What is slope?
only one
The opposite coordinates
A line passing through two distinct points
m

12. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
f(x+c) and f(x-c)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
f(x+h)-f(x)/h h cannot equal zero
20+.05x=5+.10x x=minutes

13. Is a constant function even - odd or neither?
Yes because two x's or domains can point to one y
even
x=a
Set the x and y to zero and get the intercepts and then plot the points

14. What does linear equation mean?
Y
(-infinity - +infinity)
Line ascending to the right gradually
Equation of a line

15. what can never equal zero in the slope formula and why?
(-infinity - 0]U[0 - +infinity)
The slope of a line containing two points
(-infinity - +infinity)
x2-x1 because the demonaitor of a quotient can never equal zero

16. When is the only time (-infinity - +infinity) is not the domain?
(-infinity - +infinity)
in a quotient
x2-x1 because the demonaitor of a quotient can never equal zero
x is the hours to repair the boat. $1603-532=anwser/63 = x

17. Is a standard quadratic function even - odd or neither?
even
Y
(-infinity - +infinity)
Y=x - identity function

18. How do you calculate a constant function in your calculator?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
parabola
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.
Y= then enter the number then press graph

19. How would this formula move f(x)=(x+1)^2-3
parabola - up one and right three
As many as you like
function notation
no because you cannot have one domain pointing at two y's or ranges

20. Which direction does f(x-c) move
Change in y / change in x = rise / run = y2-y1 / x2-x1
horizontal right
Y=x^2 - graph
Cannot be drawn in quizlet

21. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
f(x)=IxI
identity
Yes - all the domains points to one range
even

22. Standard absolute value - vertical shift formulas for positve and negative
Y=b
Y=x^2 - graph
f(x)=IxI
f(x)=+c and f(x)-c

23. What is the domain for an absolute value function?
[0 -+infinity)
f(x^1)=f(x^2)
A V
(-infinity - +infinity)

24. Is an absolute value function even - odd or neither?
The first set of components of an ordered pair
even
function notation
x^2

25. What is the line called that illustrates the straight line between the two points when showing average rate of change?
parraelle line
The secant line
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
4 -6 -9

26. What is the range of the constant function?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
The single number y=
because the demintor of a quotient can never equal zero
Y=IxI

27. What is the slope intercept formula? Define all the variables.
Equation of a line
(-infinity - +infinity)
in a quotient
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

28. What is another way of writing the absolute value function?
zero slope
odd
2nd key - x^2 - graph
Y=IxI

29. What is the formula for an absolute value function?
The opposite coordinates
f(x)=IxI
negative inverse
inconsitent

30. What is the formula for an identity function?
Line ascending to the right gradually
f(x) = x
f(x2)-f(x1) / x2-x1
(-infinity - +infinity)

31. y=f(cx) what does this formula represent?
The second set of components of an ordered pair
f(x) = x
f of g and g of f
0<c<1 - horizontal stretching

32. What is the point slope formula and when do you use it?
horizontal
45 degree angle
no because you cannot have one domain pointing at two y's or ranges
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

33. What is the vertical line test?
Y
(-infinity - +infinity)
Y=x^2 - graph
When does a graph not define y as a function of x?

34. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
(-infinity - +infinity)
C>1 - horizontal shrinking
(-infinity - +infinity)

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

36. What type of line is a constant function?
horizontal
(f+g) - (f-g) - (fg) - (f/g) all of x
even
Y=b

37. What equation does every line have? Discuss the variables.
no because you cannot have one domain pointing at two y's or ranges
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.
Y=b
(-infinity - +infinity)

38. 4(x-7)=4x+28 is what type of an equation?
function notation
up
f(x+h)-f(x)/h h cannot equal zero
inconsitent

39. What is an identity function?
45 degree angle
in a quotient
2nd catalog (zero key -) abs(x) - graph
Y=b

40. 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
(-infinity - +infinity)
odd
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

41. Is the square root function odd - even or neither?
Y
neither
up
20+.05x=5+.10x x=minutes

42. Two vertical lines side by side are a symbol for what
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
parraelle line
Y=x - identity function
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.

43. In an identity function if f(10)=x than what is y?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Y=10
(-infinity - 0]U[0 - +infinity)
2nd key - x^2 - graph

44. What is the range for the standard cubic function?
Y=x - identity function
horizontal
(-infinity - +infinity)
Equation of a line

45. What is the slope of a perpendicular line?
negative inverse
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
f(x)=+c and f(x)-c
Cannot be drawn in quizlet

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

47. What is the domain of a square root function?
[0 -+infinity)
Absolute Value - Constant and Standard Quadratic
f(x+h)-f(x)/h h cannot equal zero
(-infinity - 0]U[0 - +infinity)

48. What does the absolute value function look like?
negative slope
A V
f of g and g of f
(-infinity - 0]U[0 - +infinity)

49. What are the calculator instructions for the standard cubic function?
x math 3 graph
math 4 x - graph
horizontal right
horizontal

50. What are the four steps for solving a linear equation?
45 degree angle
Conditional
perpendicular line
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.