Q 5 - Precalculus Enhanced with Graphing Utilities

Question

List the intercepts of the following graph. 

Step-by-Step Solution

Answer

The intercepts of given graph are :-

$\left(-4,0\right);\left(0,0\right);\left(2,0\right);\left(0,-2\right) and \left(0,2\right)$

Step 1. Given Information

We have given the following graph :-

We have to find intercepts of this graph.

That is we have to find the points, where the graph cut the x-axis or y-axis.

Step 2. Intercepts of given graph

We have given the following graph :-

We can see that the graph is passing through origin.

So $\left(0,0\right)$ is one intercept

The graph cut x-axis at $-4 and 2$. So the intercepts are $\left(-4,0\right) and (2,0)$ The graph cut y-axis at $-2 and 2$. So the intercepts are $\left(0,-2\right) and (0,2)$.

So all intercepts of the given graph are :-

$\left(-4,0\right);\left(0,0\right);\left(2,0\right);\left(0,-2\right) and \left(0,2\right)$.