Q2. - Algebra 1

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.

Step-by-Step Solution

Answer

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

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

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

From the given graph, it can be noticed that the graph of the function does not cut the $x$-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.