Q 70. - Precalculus Enhanced with Graphing Utilities

Question

(a) graph each function, (b) determine the domain and the range of the function, and (c) determine where the function is increasing and where it is decreasing.

$f\left(x\right)=-3x+2$

Step-by-Step Solution

Answer

Part (a). The graph is:

Part (b). The domain and range of the given function is all real numbers.

Part (c). The function is nowhere increasing and is decreasing in the whole domain.

Part (a) Step 1. Given information.

The given function is $f\left(x\right)=-3x+2$.

Part (a) Step 2. Draw the graph.

Part (b) Step 1. Given information.

The given function is $f\left(x\right)=-3x+2$.

Part (b). Step 2. Determine the domain and range of the given function.

The domain and the range of the function is all real numbers.

Part (c) Step 1. Given information.

The given function is $f\left(x\right)=-3x+2$.

Part (c). Step 2. Determine where the function is decreasing and increasing.

From the above graph, the function is nowhere increasing and the function is decreasing in the whole domain.