Understanding Absolute Value Functions

This video tutorial teaches how to graph absolute value functions, focusing on understanding the vertex form, identifying the vertex and slope, and determining the domain and range. It includes examples with different slopes and missing coefficients, providing a comprehensive guide to mastering these functions.

What is the primary focus of this video tutorial?

• Finding the slope of a line

• Graphing linear functions

• Graphing absolute value functions

• Solving quadratic equations

What does the vertex form of an absolute value function help you identify?

• The y-intercept of the function

• The vertex of the function

• The x-intercept of the function

• The slope of the function

In the vertex form of an absolute value function, what do the H and K represent?

• The x and y coordinates of the vertex

• The domain and range

• The slope and y-intercept

• The x and y intercepts

What is the vertex of the function f(x) = 3|x + 2| + 4?

• (-2, 4)

• (2, -4)

• (2, 4)

• (-2, -4)

How is the slope of an absolute value function determined from its equation?

• By the sum of all coefficients

• By the coefficient inside the absolute value bars

• By the coefficient in front of the absolute value bars

• By the constant term outside the absolute value bars

What is the domain of the function f(x) = 3|x + 2| + 4?

• x = 0

• x < 0

• x > 0

• All real numbers

What is the range of the function f(x) = 3|x + 2| + 4?

• y ≥ 4

• y > 4

• y < 4

• y ≤ 4

What changes in the function f(x) = -3|x + 2| + 4 compared to f(x) = 3|x + 2| + 4?

• The slope

• The vertex

• The range

• The domain

What is the range of the function f(x) = -3|x + 2| + 4?

• y > 4

• y < 4

• y ≥ 4

• y ≤ 4

What is the vertex of the function f(x) = |x - 3|?

• (3, 0)

• (-3, 0)

• (0, 3)

• (0, -3)