200 300 100 300 100 200 300 100 200 300 100 200 300 100 Domains & Ranges I LOVE Parametric Equations Operations of Functions Inverse Functions Difference.

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Presentation transcript:

Domains & Ranges I LOVE Parametric Equations Operations of Functions Inverse Functions Difference Quotient Symmetry Odds and Evens

Find the domain and the range of the following equation:

Find the domain of the following equation in interval notation:

Find the domain of the following equation:

Parameterize this equation:

Find the inverse of this parametric equation:

Graph the inverse of this parametric equation:

Given the following functions: f(x) = x + 1 h(x) = x Find h(f(x))

x 2 + 2x

Given the following functions: f(x) = 2x + 5 g(x) = x - 1 Find f(x)*g(x)

2x 2 + 3x - 5

Given the following functions: f(x) = 2x + 5 g(x) = x – 1 h(x) = 4x Find f(g(h(x)))

8x + 3

Find the inverse of the equation:

Find the difference quotient of the function f(x) = 3x - 5

3

Find the difference quotient of the function f(x) = 3x 2 – x + 1

6x + 3h -1

Find the slope of the secant line of the function f(x) = x 2 – 2x + 1 for the interval [-1, 2]

List the symmetries of the equation y = 2x List the symmetries of the equation y = 2x

symmetric about the origin symmetric about the origin

List the symmetries of the equation y 2 = x - 3

symmetric about the symmetric about the x-axis

List the symmetries of the equation List the symmetries of the equation y = |x| + x 2 y = |x| + x 2

symmetric about the symmetric about the y-axis

Is the function in the graph even, odd, or neither?

NEITHER

Is the function in the graph even, odd, or neither?

ODD

List the symmetries of even functions and list the symmetries of odd functions.

Even – symmetric about y-axis Odd – Symmetric about origin