Question

consider the function graphed at right.
what are the x - intercepts of the function? if there is more than one x - intercept, separate the coordinates with a comma.
what are the zeros of the function? if there is more than one zero, separate your solutions with a comma.

Explanation:

Step1: Recall the definition of x - intercept

The x - intercepts of a function are the points \((x,0)\) on the graph of the function.

Step2: Identify the x - intercept from the graph

Looking at the graph, the function crosses the x - axis at the point \((7,0)\).

Step3: Recall the definition of zero of a function

The zero of a function \(y = f(x)\) is a value of \(x\) such that \(f(x)=0\). This is equivalent to the x - coordinate of the x - intercept.

Answer:

The x - intercept is \((7,0)\) and the zero of the function is \(7\).