
Answer:
The y-intercept is (0,0), obtained by setting x = 0 in the given function.
The x-intercepts are (0,0) and (0.4/0.008, 0), or (0,0) and (0,50).
Step-by-step explanation:
It's best to label a quantity like this one: y = x(0.4 - 0.008x). Perform the indicated multiplication so as to obtain a quadratic equation of the form y = ax^2 + bx + c: 0.4x - 0.008x^2; here, that works out to y = -0.008x^2 + 0.4x + 0. The y-intercept is (0,0), the value of the function when x = 0.
The x-intercepts are found by setting y=0 and solving for x: (0,0) and (50,0)