Intervals Quadratic

Where is the function decreasing?

• (-∞, -1)

• (-1, ∞)

• (-∞, 3)

• (-∞, ∞)

Which answer choice best represents the domain and range of the function?

What is the range of the graph?

• All real numbers

Tags

AI.9.6.A

Describe the end behavior of the graph.

• x →∞, y→⁻∞ and x →⁻∞,y→⁻∞

• x →∞, y→∞ and x→⁻∞, y→∞

• x →∞, y→∞ and x→⁻∞, y→0

• x →∞,y→∞ and x→⁻∞, y→⁻∞

What is the range of the graph?

• [1, ∞)

• (1, ∞)

• (-∞, ∞)

• none of these

On what interval is the graph of k concave down?

(type with no spaces)

The table shows values for a function k at selected values of x. Which of the following claim and explanation statements best fit these data?

• k is the best modeled by a linear function because the rate of change over consecutive equal-length input-value intervals is constant

• k is the best modeled by a linear function because the rate of change over consecutive equal-length input-value intervals is linear

• k is the best modeled by a quadratic function because the rate of change over consecutive equal-length input-value intervals is constant

• k is the best modeled by a quadratic function because the rate of change over consecutive equal-length input-value intervals is linear. The rate of change is changing at a constant rate of -1

Find the average rate of change over the interval [-2 , 4].

Type answer as a fraction.

Check ALL the intervals where this graph is decreasing.

• (-∞, -1)

• (-1, 0)

• (0, 1)

• (1, ∞)

Determine if the data in the table is best represented by a linear or quadratic function, and why.

• LINEAR, because the rate of change over consecutive equal-length input-value intervals is constant.

• QUADRATIC, because the rate of change over consecutive equal-length input-value intervals is constant.

• LINEAR, because the change in the rates of change over consecutive equal-length input-value intervals is constant.

• QUADRATIC, because the change in the rates of change over consecutive equal-length input-value intervals is constant.