Key Features of Functions in Algebra 2

Mr. Hartzler reviews key algebra concepts, including domain and range, graphing equations, and intercepts. He explains how to identify positive and negative intervals, as well as increasing and decreasing intervals on graphs. The video also covers the average rate of change, equating it to the slope of a line. The tutorial is designed to reinforce understanding of these fundamental algebraic concepts.

What is the domain of the function y = x^2 + 2?

• All positive numbers

• All negative numbers

• All integers

• All real numbers

How is the domain of a function represented in set builder notation?

• (x, x ∈ ℝ)

• {x | x ∈ ℝ}

• {x | x ∈ ℤ}

• [x, x ∈ ℝ]

What is the range of the function y = x^2 + 2?

• y ≥ 2

• y ≤ 2

• y < 2

• y > 2

In interval notation, how is the range of y = x^2 + 2 expressed?

• (2, ∞)

• (-∞, 2)

• [2, ∞)

• (-∞, 2]

What is the x-intercept of the equation y = 34 - 0.0714x?

• 0

• 34

• 476.19

• 71.4

What is the y-intercept of the equation y = 34 - 0.0714x?

• 476.19

• 71.4

• 34

• 0

Where is the function positive?

• On the y-axis

• On the x-axis

• Above the x-axis

• Below the x-axis

In interval notation, where is the function negative?

• (-∞, 2) ∪ (4, ∞)

• (2, 4)

• (-∞, 4)

• (2, ∞)

Where is the function increasing?

• From -∞ to ∞

• From 0 to ∞

• From -∞ to 0

• From 2 to 4

What is the average rate of change of a function also known as?

• Intercept

• Slope

• Vertex

• Axis of symmetry