Show:
Relations & Functions
Composition of Functions
Graphing Functions
Relative Extrema and Intervals of Inc/Dec
Inverse Functions
100
f(4) if f(x) = 5x - 10
What is 10?
100
Find (f+g)[x] if f(x) = x^2 - x - 6 and g(x) = x + 2
What is x^2 - 4?
100
What is the equation of the line given points P(2, 3) and (-4, -1)?

What is y = (2/3)x + (5/3)?

100

Using the graph on the board, identify a relative max, and a relative min.

Relative Max: (2, 1)

Relative Min: (-2, -3)

100

Given f = {(1, 2), (3, 6), (4, -5)}, find the inverse?

What is f^-1 = {(2, 1), (6, 3), (-5, 4)}?

200
f(-3) if f(x) = 4x^2 - 4x + 9?
What is 57?
200
Given f(x) = 3x^2 + 2x -1 and g(x) = 4x + 2 find [fog](x)
What is 48x^2 + 56x + 15?
200
Find the slope of the line passing through A(-3, 5) and B(6, 2)
What is -1/3?
200

Using the graph on the board, identify the intervals of increasing, decreasing, and constant.

Inc: (-2, -0.5), (0.5, 2)

Dec: (- infinity, -2) (2, infinity)

Constant: (-0.5, 0.5)

200

Find the inverse of the function f(x) = (2/x) - 3

What is y = 2/(x+3)

300

Using f(x) = 3x - 4, find the difference quotient (f(x+h) - f(x))/h

What is 3?

300

Determine if the following functions are inverses.

f(x) = x^2-2 and g(x) = sqrt(x+2)

yes, f(g(x)) = x and g(f(x))=x

300

Write the slope-intercept of the equation of the line that passes through the point at (3, -4) and is parallel to x + 3y - 4 = 0.

What is y = (-1/3)x - 3?

300

Using the graph on the board, state the domain and range.

Domain: (-infinity, infinity)

Range: (-infinity, infinity)

300

Determine if f(x) = abs(x-2) is one-to-one.

No, it is not
400
k(4c) if k(x) = x^2 +2x - 4?
What is 16c^2 + 8c - 4?
400

Given the following functions: f(x) = x^2-2 and g(x) = sqrt(x+7)

Find (f/g)(-3)

What is 7/4?

400

Given -f(x - 5) - 3, describe the transformation of f(x).

What is f(x) shifted right 5, reflected over the x-axis, and moved down 3?

400

Use your calculator to help you determine the relative maximum and minimum of the function y = 3x^3 + 5x^2 - 1

minimum: (0, -1)

maximum: (-1.11, 1.06)

400

Determine if the following functions are inverses.

f(x) = x^2-2 and g(x) = sqrt(x+2)

yes, f(g(x)) = x and g(f(x))=x

500
Find f(m+1) if f(x) = |x^2 + 3x|?
What is |m^2 +5m + 4|?
500
f(x) = 3/(x - 7) and g(x) = x^2 + 5x. Find (f+g), (f - g), (fg), and (f/g) of x.
(f+ g)[x] = (x^3-2x^2-35x+3)/(x-7), x ≠ 7 (f - g)[x] = -(x^3-2x^2-35x-3)/(x-7), x ≠ 7 (fg)[x] = (3x^2 + 15x)/(x-7), x ≠ 7 (f/g?[x] = 3/(x^3-2x^2-35x), x ≠ -5, 0, 7
500

Identify the parent function and describe the transformation.

f(x) = -4(x - 3)^2 + 2

What is a quadratic function shifted right 3 units, reflected over the x-axis, vertically stretched by 4, and moved up 2 units?

500

Use your calculator to help you determine the intervals of increasing and decreasing for the function y = 3x^3 + 5x^2 - 1

Increasing: (- infinity, -1.11), (0, infinity)

Decreasing (-1.11, 0)

500

What is the name of at least 2 of Mrs. Miller's 6 children?

What is Kaylin, Emma, Gabe, Alexa, Isabelle, Ryan