Question

3. State the degree of the function, end behavior, and y-intercept of its graph. s(x)=(x+2)^2(1-x)^2(x²+5)

Answer 1

The degree is 2. The end behavior has both arrows pointing up.

Explanation:

When the function is simplified, it is s(x) = 3x² + 2x + 10. To determine the degree of the function, just look at the highest degree of the function and use that degree value. To find the end behavior, if the leading coefficient is positive, the arrow on the right goes up, but if the degree is also even, both arrows go upward. The chart below explains the rest.

Hope I helped!