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Find the x-intercepts and the y-intercept of the graph of f(x) = (x − 4)(x − 2)(x − 1) Show all work

Sagot :

Dinofish32

Answer: (1,0), (2,0), and (4,0); (0, -8)

Step-by-step explanation:

X-Intercepts

The x-intercept is the point where the graph will cross the x-axis, so y=0. We can solve for x here by setting f(x) to 0.

[tex]0 = (x-4)(x-2)(x-1)\\\( x = 4 \) or \( x = 2 \) or \( x = 1 \)[/tex]

From here, we know that the x-intercepts are (1,0), (2,0), and (4,0).

Y-Intercept

The y-intercept is the point where the graph will cross the y-axis, so x=0.

We can solve for y here by setting x to 0.

[tex]y = (0 - 4)(0 - 2)(0 - 1)\\= -8[/tex]

From here, we know that the y-intercept is (0, -8).

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