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Find the x and y intercept for f(x)= -(x+7)(x+9)

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Final answer:

The function f(x) = -(x+7)(x+9) has two x-intercepts at (-7,0) and (-9,0), and one y-intercept at (0, -63).

Step-by-step explanation:

To find the x-intercept and y-intercept for the function f(x) = -(x+7)(x+9), we need to determine the points where the graph of the function crosses the x-axis and y-axis, respectively.

The x-intercept occurs where the function is equal to zero (f(x) = 0). Setting our function equal to zero, we get:

0 = -(x+7)(x+9)

This product equals zero when either (x+7) or (x+9) is zero, which gives us x = -7 or x = -9. Hence, we have two x-intercepts: (-7,0) and (-9,0).

To find the y-intercept, we set x to 0 in our function, resulting in:

f(0) = -(0+7)(0+9)

Thus, the y-intercept is f(0) = -63, which gives us the point (0, -63).

User Sebastien Diot
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