Key Features of Functions Explained

This video tutorial covers key features of functions in Algebra 2, focusing on graph analysis. It includes exercises on identifying intercepts, intervals, and analyzing maxima and minima. The tutorial also explores the function G(x), its graph, and key points like zeros and extrema. The session concludes with a summary of graph features and concepts.

What is the Y-intercept of the function f(x) given in the video?

• Y = 2

• Y = 4

• Y = 0

• Y = -6

Where does the graph of f(x) have its X-intercepts?

• X = -6 and X = 4

• X = -1 and X = 2

• X = 0 and X = 2

• X = -4 and X = 6

In which interval is the function f(x) increasing?

• From X = -1 to X = 2

• From X = 0 to X = 2

• From X = -6 to X = 4

• From X = -4 to X = 6

Where is the function f(x) greater than zero?

• From X = 0 to X = 2

• From X = -1 to X = 2

• From X = -4 to X = 6

• From X = -6 to X = 4

What are the X-coordinates of the relative maximum points of f(x)?

• X = -6 and X = 4

• X = -1 and X = 5

• X = 4 and X = 2

• X = 0 and X = 2

What is the absolute minimum value of f(x) and where does it occur?

• 2 at X = 4

• 8 at X = 2

• -4 at X = 8

• 0 at X = 2

What is the domain of the function f(x)?

• From -8 to 6

• From -6 to 4

• From -4 to 8

• From -1 to 2

What is the range of the function f(x)?

• From -4 to 8

• From -6 to 4

• From -1 to 2

• From -8 to 6

Where is the function G(x) decreasing?

• From X = -1 to X = 2

• From X = 0 to X = 2

• From X = -6 to X = 4

• From X = -4 to X = 1

What is the value of G(0)?

• 0

• 2

• -6

• 8