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CLEP College Algebra: Functions

Instructions:

Answer 50 questions in 15 minutes.
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Match each statement with the correct term.
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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 an identity function?
f of g and g of f
(-infinity - +infinity)
f(x)=suare root of x
45 degree angle

2. What is the range for a standard quadratic function?
m
[0 -+infinity)
only one
(-infinity - 0]U[0 - +infinity)

3. Two vertical lines side by side are a symbol for what
f(x) = x
horizontal
parraelle line
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

4. What is the range for an absolute value function?
20+.05x=5+.10x x=minutes
(-infinity - 0]U[0 - +infinity)
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
f(x)=+c and f(x)-c

5. What is the formula for the standard cubic function?
f(x+c) and f(x-c)
f(x)=x^3
Y
The minimum or maximum points

6. Standard absolute value - horizontal shift formulas for left and right
f(x2)-f(x1) / x2-x1
Absolute Value - Constant and Standard Quadratic
As equations
f(x+c) and f(x-c)

7. What is the range of a square root function?
(-infinity - +infinity)
Conditional
x = the original sale price and the formula is x - .40x =$276
[0 -+infinity)

8. Which direction does f(x)=+c move in standard absolute value formula?
Approach neg toward x through zero and above positive close to x
0<c<1 - horizontal stretching
up
perpendicular line

9. What shape is the standard quadratic function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
odd
C>1 - horizontal shrinking
parabola

10. What is the formula for the square root function?
x2-x1 because the demonaitor of a quotient can never equal zero
f(x)=suare root of x
(-infinity - +infinity)
(-infinity - +infinity)

11. What type of line is a constant function?
Y=x^2 - graph
Absolute Value - Constant and Standard Quadratic
horizontal
45 degree angle

12. What is a function?
postiive slope
neither
Three odd - cube root - identity - standard cubic
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

13. x= a real number is what type of equation?
up
Conditional
inconsitent
A V

14. What is the range for the standard cubic function?
neither
45 degree angle
(-infinity - +infinity)
The first set of components of an ordered pair

15. f(x) = x^2+3x+5 - what type of formula is this?
Yes because two x's or domains can point to one y
(f+g) - (f-g) - (fg) - (f/g) all of x
function notation
As many as you like

16. What type of slope do you have when the line is horizontal and m=0?
zero slope
Piecewise
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)

17. What is the vertical line test?
When does a graph not define y as a function of x?
(-infinity - 0]U[0 - +infinity)
[0 -+infinity)
Approach neg toward x through zero and above positive close to x

18. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
Conditional
even
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

19. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
2nd key - x^2 - graph
odd
odd

20. What is the domain of a square root function?
zero slope
Change in y / change in x = rise / run = y2-y1 / x2-x1
C>1 - horizontal shrinking
[0 -+infinity)

21. When is the only time (-infinity - +infinity) is not the domain?
x = the original sale price and the formula is x - .40x =$276
in a quotient
(-infinity - +infinity)
45 degree angle

22. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
horizontal left
Equation of a line
20+.05x=5+.10x x=minutes
down

23. What is the slope of a perpendicular line?
[0 -+infinity)
(-infinity - 0]U[0 - +infinity)
When does a graph not define y as a function of x?
negative inverse

24. what is the formula for slope?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
4 -6 -9
45 degree angle
Change in y / change in x = rise / run = y2-y1 / x2-x1

25. how many domains can you have pointing to one range?
up
m
As many as you like
Change in y / change in x = rise / run = y2-y1 / x2-x1

26. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
The single number y=
negative slope
Mirror image neg quadrant to that of the positive quandrant
1 -2 -3

27. What does the average rate of change formula solve?
C>1 - horizontal shrinking
The slope of a line containing two points
undefined
Absolute Value - Constant and Standard Quadratic

28. y=f(cx) - what does this formula represent?
Cannot be drawn in quizlet
horizontal right
(-infinity - +infinity)
C>1 - horizontal shrinking

29. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
m
identity
x is the hours to repair the boat. $1603-532=anwser/63 = x
x = the original sale price and the formula is x - .40x =$276

30. What are the algebra of functions?
x = the original sale price and the formula is x - .40x =$276
(f+g) - (f-g) - (fg) - (f/g) all of x
Y=x^2 - graph
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

31. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
down
only one
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

32. What is the vertex?
horizontal
The minimum or maximum points
same
20+.05x=5+.10x x=minutes

33. What does linear equation mean?
Y=x - identity function
m
Cannot be drawn in quizlet
Equation of a line

34. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
(f+g) - (f-g) - (fg) - (f/g) all of x
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - 0]U[0 - +infinity)
Yes - all the domains points to one range

35. What type of slope do you have when m=? and the line is vertical?
20+.05x=5+.10x x=minutes
f(x+c) and f(x-c)
undefined slope
Square Root

36. What are the four steps for finding the inverse of a function?
Equation of a line
(-infinity - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
in a quotient

37. What type of line is a constant function?
horizontal
zero slope
Line ascending to the right gradually
f(x)=suare root of x

38. How do you calculate a constant function in your calculator?
f(x) = x
identity
As many as you like
Y= then enter the number then press graph

39. Standard absolute value - vertical shift formulas for positve and negative
f(x)=x^3
0<c<1 - horizontal stretching
f(x)=+c and f(x)-c
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.

40. What is the slope intercept formula? Define all the variables.
negative inverse
f(x^1)=f(x^2)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

41. What does the standard cubic function look like on a graph?
(-infinity - +infinity)
f(x2)-f(x1) / x2-x1
parabola - up one and right three
Mirror image neg quadrant to that of the positive quandrant

42. Draw or discuss a constant function
up
even
Cannot be drawn in quizlet
in a quotient

43. Is an identity function even - odd or neither?
odd
undefined slope
2nd key - x^2 - graph
[0 -+infinity)

44. Which direction does f(x+c) move
The minimum or maximum points
horizontal left
20+.05x=5+.10x x=minutes
parabola

45. What type of slope do vertical lines have?
A line passing through two distinct points
Cannot be drawn in quizlet
undefined
f(x^1)=f(x^2)

46. x=no real numbers is what type of an equation?
[0 -+infinity)
4 -6 -9
f(x) = x
inconsistant

47. What are the calculator instructions for a standard quadratic equation?
(-infinity - +infinity)
m
Y=x^2 - graph
odd

48. Which direction does f(x-c) move
x is the hours to repair the boat. $1603-532=anwser/63 = x
horizontal right
Approach neg toward x through zero and above positive close to x
Absolute Value - Constant and Standard Quadratic

49. Of the seven of algebra's common graph's how many are odd?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
x=a
The single number y=
Three odd - cube root - identity - standard cubic

50. What is the range of the constant function?
Conditional
Piecewise
The single number y=
Square Root

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CLEP College Algebra: Functions

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