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Use the graph of f(x) to find the x-intercepts of the graph and the zeros of the function

Use the graph of f(x) to find the x-intercepts of the graph and the zeros of the function-example-1

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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.

Step-by-step 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


(-3,0)\text{ and (5,0)}

zeroes of the function


x=-3;x=5

User Laurent Pireyn
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