Given the graph of f(x) we are asked to find the x-intercepts of the graph and the zeros of the function. This can be seen below.
Explanation
The x-intercept is the point at which the graph crosses the x-axis. At this point, the y-coordinate is zero.
Therefore we can get the x-intercept by observing where the parabola cuts across the x-axis and writing out its coordinates.
By observation, the graph cuts across the x-axis at -3 and 5. Therefore we have
Answer
x-intercepts
[tex](-3,0)\text{ and (5,0)}[/tex]
zeroes of the function
[tex]x=-3;x=5[/tex]
