Use the graph to create a function with the following features:

1) As x gets smaller; the function gets larger. x→ - ∞; f(x)→ ∞

2) As x gets larger; the function gets larger. x→ ∞; f(x)→ ∞

3) The graph of the function passes through the x-axis at -3.

Use the graph to create a function with the following features:

1) As x gets smaller; the function get larger. x→ - ∞; f(x)→ ∞

2) As x gets larger; the function get smaller. x→ ∞; f(x)→ - ∞

3) The graph of the function passes through the x-axis at -3.

4) The graph of the function passes through the x-axis at 0.

For what interval of x is the function f(x) increasing?

For what interval of x is the function f(x) decreasing?

Identify one interval of (x) where the function f(x) positive.

Identify one interval of time (x) where the function f(x) decreasing.

Identify one interval of time (x) where the function f(x) increasing.

For what interval of x is the function f(x) decreasing?

Find the missing value of c.

Is this an open or closed interval?

Use interval notation to describe the domain of this function.

Simplify. Your answer should not have negative exponents.