Answer
x-intercepts: 0 and 4
y-intercept: 0
Work Step by Step
RECALL:
(i) The x-intercept is the value of x w hen y=0.
(ii) The y-intercept is the value of y when x=0.
Based on the given graph of the function, it appears that the function has:
x-intercept/s: 0 and 4
y-intercept: 0
Check if these are the actual intercepts by substituting each one to the given equation:
For x=0:
$y=4x-x^2
\\y=4(0)-0^2
\\y=0$
For x=4:
$y=4x-x^2
\\y=4(4)-4^2
\\y=16-16
\\y=0$
Thus, 0 and 4 are x-intercepts of the equation.
Since (0, 0) is on the graph of the equation, the 0 is a y-intercept.
