LHS Functions Unit 1 FlashCards Translations and Properties

Front

Given f(x) = 4x²+x-3

Value of f(-2)

Back

11

Front

Create a Table for The Absolute Value Function [-2,2]

Back

For a(x) = |x|, when x = -2, a(x) = 2; when x = -1, a(x) = 1; when x = 0, a(x) = 0; when x = 1, a(x) = 1; when x = 2, a(x) = 2.

Front

Quadratic Function: q(x) = x²

What is the shape and symmetry

Back

The graph of the quadratic function is U-shaped and symmetric about the y-axis.

Front

Make a Table for Quadratic Function [-2 , 2]

Back

For q(x) = x², when x = -2, q(x) = 4; when x = -1, q(x) = 1; when x = 0, q(x) = 0; when x = 1, q(x) = 1; when x = 2, q(x) = 4.

Front

What is the shape of the Cubic Function: c(x) = x³

Back

The graph of the cubic function is S-shaped and passes through the origin.

Front

Characteristics of Cubic Function?

Is it odd or even?

Symmetric?

If So, around what?

Back

The cubic function is an odd function ( f(x) = - f(-x) ) and is symmetric about the origin.

If you need clarification, ask in class

Front

Definition of composite function

Back

A composite function is formed by substituting one function into another.

Front

Given: f(x)=x²+4 and g(x)=x−2​

what is g(f(x))

Back

Front

If f(x) = 3x - 2 and g(x) = x + 4,

then (f·g)(x) = ?

Back

3x² + 10x - 8.

Front

Instantaneous Rate of Change (IROC) of a function at a specific point is given by the derivative at that point.

The _______ represents the _____ of the ______ line

Back

The derivative represents the slope of the tangent line to the graph of the function at that point.