Question

state domain and range, intercepts, relative max and relative mins points and values, intervals of increase and decrease, intervals of positive and negative, symmetry, and end behavior

Answer 1

The domain of the graph is -∝ < x < ∝ and the range of the graph is y > -2. Also, the symmetry is x = -3

The domain and range of the graph

From the graph, we can see that the x values extend indefinitely

So, the domain of the graph is -∝ < x < ∝

However, the minimum y value is -2 and it increases from there

So, the range of the graph is y > -2

The intercepts

This is where the graph crosses the axes

So, we have the intercepts to be

• x-intercept = -1 and -5
• y-intercept = 1

Relative max and relative mins points and values,

The graph has no relative maximum and the relative minimum is (-3, 2)

Intervals of increase and decrease

There are the intervals where the function increases and decreases

So, we have the intervals to be

• Increasing interval: (-3, ∝)
• Decreasing interval: (-∝, -3)

Intervals of positive and negative

There are the intervals where the function is positive and negative

So, we have the intervals to be

• Positive interval: (-∝, -5) and (1, ∝)
• Negative interval: (-5, -1)

The symmetry

This is the line that divides the graph equal part

In this case, the symmetry is x = -3

The end behavior

Using the intervals where the function is positive and negative, the end behavior is

• As x ⇒ ∝, f(x) ⇒ +∝
• As x ⇒ -∝, f(x) ⇒ -∝

Read more about functions at:

brainly.com/question/3951754

#SPJ1