Question
Compare the graphs of f (x) = x^2 - 4 and g (x) = x - 4. What is the y-intercept of Both graphs?
They both have a y-intercept at (0, _)
They both have a y-intercept at (0, _)
Answers
GPT-4o mini
To find the y-intercept of the functions \( f(x) = x^2 - 4 \) and \( g(x) = x - 4 \), we evaluate each function at \( x = 0 \).
1. For the function \( f(x) = x^2 - 4 \):
\[
f(0) = 0^2 - 4 = 0 - 4 = -4
\]
So, the y-intercept of \( f(x) \) is \( (0, -4) \).
2. For the function \( g(x) = x - 4 \):
\[
g(0) = 0 - 4 = -4
\]
So, the y-intercept of \( g(x) \) is also \( (0, -4) \).
Both functions have a y-intercept at \( (0, -4) \).
1. For the function \( f(x) = x^2 - 4 \):
\[
f(0) = 0^2 - 4 = 0 - 4 = -4
\]
So, the y-intercept of \( f(x) \) is \( (0, -4) \).
2. For the function \( g(x) = x - 4 \):
\[
g(0) = 0 - 4 = -4
\]
So, the y-intercept of \( g(x) \) is also \( (0, -4) \).
Both functions have a y-intercept at \( (0, -4) \).