Question

F(x) = f(-/x/+3 if x < -2
4x+1 if x>-2

Answer 1

The graph of the function f(x) on the coordinate plane is attached

How to determine graph the function on a coordinate plane

From the question, we have the following parameters that can be used in our computation:

`f(x) = \left\{ \begin{array}{lr} |x| + 3, & \text{if } x < -2\\ 4x + 1, & \text{if } x > -2 \end{array}`

The given function above is a piecewise function

To plot the above function, we plot each subfunction in the respective domains

Using the above as a guide, we have the following:

• We plot f(x) = |x| + 3 in the domain x < -2
• We plot f(x) = 4x + 1 in the domain x > -2

The graph of the function is attached

Question

Graph the following function on a coordinate plane

f(x) = {-|x| + 3 if x < -2

{ 4x + 1 if x > -2