Question

Which of the following graphs could be the graph of the function f(x)=0.003x^2(x^2-25)?

Answer 1

See below

Explanation:

You don't give any options, but here's the information you can get from just the equation itself:

• Since your polynomial is a 4th-degree polynomial, I would expect to see 3 turning points at most.

• I would also expect to see zeroes at x=0, x=5, and x=-5

Look for these characteristics and find the appropriate graph.