Key Features of Functions in Algebra 2

This video tutorial covers key features of functions in Algebra 2, including intercepts, zeros, and intervals of increase and decrease. It explains how to identify relative and absolute maximums and minimums, and how to determine the domain and range using interval notation. The video also introduces a new function and calculates its Y-intercept. The session concludes with a preview of exercises to be completed in the next class.

What is the main focus of Algebra 2 Unit 2 Lesson 7?

• Key features of functions

• Properties of exponents

• Graphing linear equations

• Solving quadratic equations

Where does the Y intercept of a function occur?

• Where X is zero

• Where Y is zero

• Where the function is increasing

• Where the function is decreasing

What are the X intercepts of the function in the video?

• X = -1 and X = 5

• X = -2 and X = 6

• X = -6 and X = 4

• X = -4 and X = 2

What is another name for the X intercepts of a function?

• Intercepts

• Zeros

• Valleys

• Peaks

Over the interval from X = -1 to X = 2, is the function increasing or decreasing?

• Increasing

• Decreasing

• Constant

• Undefined

In interval notation, how is the interval where f(x) is greater than zero written?

• (-6, 4)

• [-6, 4)

• (-6, 4]

• [-6, 4]

What is a relative maximum?

• The highest point of the entire function

• A turning point where the function changes from increasing to decreasing

• A point where the function is constant

• A turning point where the function changes from decreasing to increasing

What is the absolute maximum of the function in the video?

• Y = 2

• Y = 8

• Y = -4

• Y = -2

What is the domain of the function in interval notation?

• [8, 6]

• (-8, 6)

• [8, 6]

• [-8, 6]

If G(x) = 12f(x) + 2, what is the Y intercept of G?

• 2

• 4

• 8

• 12