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Chapter 2: Q. 4 (page 100)

The function f(x)=x2 is decreasing on the interval _____.

Short Answer

Expert verified

The function f(x)=x2is decreasing on the interval(-鈭�,0).

Step by step solution

01

Step 1. Given information

We have been given a statement as: The function f(x)=x2is decreasing on the interval _________.

We have to fill in the blank.

02

Step 2. Analyze the graph of the given function

The graph of the function f(x)=x2is:

Therefore, the function is decreasing on the interval (-鈭�,0).

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Determine whether the graph is that of a function by using the vertical-line test. If it is, use the graph to find: (a) The domain and range (b) The intercepts, if any (c) Any symmetry with respect to the x-axis, the y-axis, or the origin.

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