Chapter 3.2, Problem 36E

a.

To determine

To Find: The domain of a given function and to state whether it is discrete or continuous.

Answer to Problem 36E

  $\text{Domain}\in [0,\infty )$ Or set of all positive real numbers including 0.

And it is a continuous.

Explanation of Solution

Given Information: The number y of calories burned after $x$ hours of rock climbing is given by

  $y=650x$

Given function is $y=650x$

Here $y$ is in calories and $x$ is time in hour

Since time cannot be negative number then the domain of given function is set of all positive real numbers.

Hence domain is given as follows, $x\in [0,\infty )$ or set of all positive real numbers including 0.

This domain set is continuous and not discrete because it can take on any value within infinite interval and we can’t count it.

A discrete is the set of data if the values belonging to set are distinct.

(b)

To determine

To graph: the function given by $y=650x$ .

Explanation of Solution

Graph: The graph of the given function $y=650x$ is as follows-