Find the x-and y-intercepts of the given equation. g(x)=2x+4

Question
Upper level algebra
asked 2020-10-21
Find the x-and y-intercepts of the given equation.
\(\displaystyle{g{{\left({x}\right)}}}={2}{x}+{4}\)

Answers (1)

2020-10-22
Calculation:
Consider the following function
\(\displaystyle{g{{\left({x}\right)}}}={2}{x}+{4}\)
For x-intercept put \(\displaystyle{g{{\left({x}\right)}}}={0}\)
\(\displaystyle{0}={2}{x}+{4}\)
\(\displaystyle{2}{x}=-{4}\)
\(\displaystyle{x}=-{2}\)
Hence, the x-intercept is at (-2, 0)
For y-intercept put \(\displaystyle{x}={0}\)
\(\displaystyle{g{{\left({0}\right)}}}={2}{\left({0}\right)}+{4}={4}\)
Hence, the y-intercept is at (0,4).
0

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