Question

Select the correct answer. Consider the piecewise function shown on the graph, which is composed of polynomial, constant, and exponential pieces.

Answer 1

(negative infinity, -4)

Explanation:

Plato/Edmentum

Answer 2

From the graph, we can find the interval in which the function is increasing.

If we draw a tangent line at points on the curve,

• the function is ,increasing, if the tangent line has a ,positive slope,.

,

• the function is ,decreasing, if the tangent line has a ,negative slope.

Check the image below for further clarification:

Now, following the curve from left to right, we can see that the function is increasing from left hand side (negative infinity) until x = - 4.

Thus, the function is increasing in the interval:

`(-\infty,-4)`

Correct Answer:

B

Note:

From - 4 to 1, the function is neither increasing nor decreasing (slope is 0)

From 1 towards infinity, the function is decreasing