Quadratic Intervals

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

On what interval is the graph of k concave down?

(type with no spaces)

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.

Check ALL the intervals where this graph is decreasing.

• (-∞, -1)

• (-1, 0)

• (0, 1)

• (1, ∞)

• Decreasing Interval

• Increasing Interval

• Constant Interval

• Positive Interval

• Negative Interval

For what intervals of x is f(x) positive?

• x≤-1

• x≥-1

• -3<x<1

• -3≤x≤1

What is the interval of increase for the following parabola?

On what interval(s) in the graph increasing?

Identify the intervals where the function is positive and where it is negative.

• positive x > -1 and negative x < -1

• positive nowhere and negative -4 < x < -1

• positive x < -3 and x > 1 and negative -3 < x < 1

• positive R and negative x < -4

Find the decreasing interval

• (-1, infinity)

• (-infinity, -1)

• (-infinity, 4)

• (4, infinity)