Find all x-intercepts of the function.
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B) (9, 0), (49, 0)
D) (3, 0), (7, 0)

Question

Find all x-intercepts of the function.
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B) (9, 0), (49, 0) 
D) (3, 0), (7, 0)

Quizplus · Accepted Answer

The function has two x-intercepts at the points where the graph crosses the x-axis. These coordinates occur when the output, or y-value, is zero. Setting the given function to zero:

$0=5(x-9)(x-49)$

Using the zero product property, we can solve for the x-values:

$x-9=0$ or $x-49=0$

$x=9$ or $x=49$

Therefore, the function has x-intercepts at (9,0) and (49,0). The function has two x-intercepts, which are points where the function intersects the x-axis. These points occur when y equals zero. To find the x-intercepts, we set y equal to zero and solve for x:
(x-9)(x-49) = 0
x = 9 or x = 49
Therefore, the x-intercepts are (9,0) and (49,0), which is option B.

Find All X-Intercepts of the Function