Question

Find the $x$- and $y$- intercepts of the graph.

F $x$-intercept is 0; $y$- intercept is 150.

G $x$-intercept is 150; $y$- intercept is 0.

H $x$-intercept is 150; no $y$- intercept.

J No $x$-intercept; $y$- intercept is 150.

Short answer

There is no $x$-intercept and $y$-intercept of the given graph is 150. Therefore, the option J is correct.

Step-by-step solution

Part a. Step 1. Determine the x-intercept of the given graph.

The $x$-intercept of the graph is the value of the role="math" localid="1647289795293" $x$where the graph cuts the role="math" localid="1647289750946" $x$-axis.

From the given graph, it can be noticed that the graph of the function does not cut the role="math" localid="1647289817519" $x$-axis.

Therefore, there is no $x$-intercept of the given function.

Part a. Step 2. Determine the y-intercept of the given graph.

The $y$-intercept of the graph is the value of the$y$ where the graph cuts the $y$-axis.

From the given graph, it can be noticed that the graph of the function cuts the $y$-axis at the point $\left(0,150\right)$.

Therefore, the $y$-intercept of the given graph is 150.

Therefore, there is no $x$-intercept and $y$-intercept of the given graph is 150.

Therefore, the option J is correct.