what is the y-intercept of the function f(x) = –2/9x 1/3
f(x) = -2/9x + 1/3
y-intercept is when x = 0
i.e. y-intercept = 1/3
we have
\(f(x)=-\frac{2}{9}x+\frac{1}{3}\)
we know that
the y-intercept of the function is the value of the function f(x) when the value of x is equal to zero
so
For \(x=0\)
\(f(0)=-\frac{2}{9}*0+\frac{1}{3}\)
\(f(0)=\frac{1}{3}\)
The y-intercept is the point \((0,\frac{1}{3})\)
therefore
the answer is
The y-intercept is \(\frac{1}{3}\)