Understanding Absolute Value and Quadratic Functions

This video tutorial covers graphing functions, including linear, quadratic, and absolute value functions. It explains how to use a T-table for plotting points and discusses function notation. The video also explores how to determine the domain and range of functions, using graphical representations to verify these concepts. Additionally, it demonstrates using a graphing calculator to plot functions and verify T-table values.

What is the first step in graphing a linear function using a T-table?

• Draw the graph

• Find the Y-intercept

• Calculate the slope

• Select any X values

How do you express the point (0, -2) using function notation?

• F(2) = 0

• F(0) = 2

• F(-2) = 0

• F(0) = -2

What shape does the graph of a quadratic function typically have?

• A straight line

• A V-shape

• A parabola

• A circle

What is the domain of a quadratic function?

• All negative numbers

• All positive numbers

• Numbers greater than zero

• All real numbers

How can you verify the graph of a quadratic function using a calculator?

• By using the Y= function

• By finding the intercepts

• By drawing it manually

• By calculating the slope

What is the range of the function F(x) = x^2?

• Y greater than or equal to -1

• Y less than or equal to 0

• Y greater than or equal to 0

• All real numbers

What is the shape of the graph of an absolute value function?

• A V-shape

• A parabola

• A straight line

• A circle

What is the domain of an absolute value function?

• All real numbers

• All negative numbers

• All positive numbers

• Numbers greater than zero

What is the lowest Y value for the function F(x) = |x| - 3?

• 0

• -3

• 3

• -1

How do you access the absolute value feature on a graphing calculator?

• Press '2nd' and 'GRAPH'

• Press 'GRAPH'

• Press 'MATH' and select 'ABS'

• Press the 'Y=' button