Question

Use the equation below to sketch a graph. Be sure to include labels for the increments on your x and y axis. Take a picture of that written work and upload it when submitting your answer. You may want to create a table of values to help you graph the function.m(t)=3+\sqrt[]{t+2}

Answer 1

Given the equation of the function:

`m(t)=3+\sqrt[]{t+2}`

The given function is a square root function

To graph the function, we will assume values for t and calculate the corresponding values of (m) using the given equation

Note: the values of (t) must be on the interval of the domain to avoid the negative numbers under the square root

the domain of the function will be according to the following inequality:

`\begin{gathered} t+2\ge0 \\ t\ge-2 \end{gathered}`

So, we will assume t = -2, -1, 0, 1, 2, ......

The table and the graph of the function will be as shown in the following figure: