Exploring Absolute Value Graph Attributes

This video tutorial covers the attributes of absolute value functions, focusing on graphing and analyzing these functions. It explains how to determine the maximum and minimum values within a given interval and discusses the domain, range, intercepts, and symmetry of graphs. The tutorial also guides viewers on writing equations from graphs by identifying vertices and slopes, using the point-slope model.

What is another term for 'attributes' as mentioned in the video?

• Transformations

• Characteristics

• Equations

• Graphs

When graphing the function f(x) = 2|x + 4| - 2, where is the new vertex located?

• (4, 2)

• (-4, -2)

• (4, -2)

• (-4, 2)

For the function f(x) = 2|x + 4| - 2, what is the maximum y-value on the interval [-6, -3]?

• 0

• 4

• -2

• 2

What is the domain of an absolute value function in interval notation?

• [0, ∞)

• (-∞, ∞)

• (-∞, 0]

• (-∞, 0)

How is the range of the function f(x) = -|x - 2| + 3 expressed in interval notation?

• [3, ∞)

• [0, 3]

• (-∞, ∞)

• (-∞, 3]

Where does the function f(x) = 2|x + 4| - 2 cross the x-axis?

• (-4, 0) and (-2, 0)

• (3, 0) and (5, 0)

• (-3, 0) and (-5, 0)

• (4, 0) and (2, 0)

What is the axis of symmetry for the function f(x) = 2|x + 4| - 2?

• x = 2

• x = -2

• x = -4

• x = 4

What is the vertex of the function represented by the equation f(x) = |x + 3|?

• (0, 3)

• (-3, 0)

• (3, 0)

• (0, -3)

For the function f(x) = -2|x - 1| + 4, what is the slope?

• -1

• 2

• -2

• 1

What is the equation of the function with vertex (3, 0) and slope 1/2?

• f(x) = 1/2|x - 3|

• f(x) = 2|x - 3|

• f(x) = 1/2|x + 3|

• f(x) = 2|x + 3|