Key Features of Functions: Day 2 Insights

Mrs. Ruccio presents a video tutorial on key features of functions, focusing on graph and table analysis. The video includes three examples: using a graph to find specific values and interpret points, analyzing a table to determine intercepts and maximum values, and employing a calculator to graph functions and identify key features like intercepts, increasing intervals, and range. The tutorial emphasizes understanding graph behavior and interpreting mathematical functions.

What is the value of g(0) according to the graph?

• -4

• -3

• 0

• 4

What special point does g(0) represent on the graph?

• Maximum point

• y-intercept

• x-intercept

• Vertex

For which x-values is g(x) equal to -3?

• 1, -1, -5

• 2, -2, -4

• 0, 3, -3

• 1, 2, -1

What do the x-values where g(x) = 0 represent on the graph?

• y-intercepts

• x-intercepts

• Maximum points

• Vertices

What is the value of k(0) from the table?

• 4

• 3

• 2

• 0

What are the x-intercepts of the function k(x) from the table?

• -2, 0 and 2, 0

• 0, 3 and 3, 0

• -3, 0 and 3, 0

• 0, -2 and 0, 2

What is the maximum value of k(x) from the table?

• 2

• 4

• 3

• 5

What is the y-intercept of h(x) = -x^2 + 4?

• -4, 0

• 0, -4

• 4, 0

• 0, 4

For which x-values is h(x) equal to 3?

• -2 and 2

• -1 and 1

• 0 and 3

• -3 and 3

What is the range of the function h(x) = -x^2 + 4?

• y ≤ 4

• y < 4

• y ≥ 4

• y = 4