Question

Graph the following piecewise function: f(x) = x^2 + 2 if -5 is greater than or equal to x which is less than 3.

Answer 1

To graph the piecewise function f(x) = x^2 + 2 for -5 ≤ x < 3, plot two separate graphs and then combine them. Within the range of -5 ≤ x < 3, calculate f(x) for each x-value, plot the corresponding points, and connect them with a smooth curve.

Step-by-step explanation:

To graph the piecewise function f(x) = x^2 + 2 for -5 ≤ x < 3, we need to plot two separate graphs and then combine them.

First, for x < -5, the function is undefined.

Second, for -5 ≤ x < 3, we can plot the function f(x) = x^2 + 2 within this range. Use a number line to mark the x-values from -5 to 3. For each value of x within this range, calculate f(x) and plot the corresponding points. Connect the points with a smooth curve to obtain the graph.