3 years ago

Which is an x-intercept of the graphed function?

Mathematics

1 answer:

Law Incorporation [45]3 years ago

8 0

Answer:

see below

Step-by-step explanation:

An x-intercept is a place where the graph crosses the x-axis. This graph crosses the x-axis at -2, -1, 1, and 2. The coordinates of these points are ...

(-2, 0)
(-1, 0)
(1, 0)
(2, 0)

Of these, only one is listed among your answer choices: (-1, 0).

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$C(0,3) \\
x_1=0 \\
y_1=3 \\ \\
D(4,7) \\
x_2=4 \\
y_2=7 \\ \\
\overset{\underline{\ \ \ \ }}{CD} =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(4-0)^2+(7-3)^2}= \\
=\sqrt{4^2+4^2}=\sqrt{16+16}=\sqrt{16 \times 2}=4\sqrt{2} \\ \\
\boxed{\overset{\underline{\ \ \ \ }}{CD} = 4\sqrt{2}}$