The table shows the estimated number of deer living in a forest over a five-year period. which type of function best models the data? write an equation to model the data.

year estimated population
0 100
1 79
2 62
3 49
4 39

a. linear; y = 0.79x + 100
b. quadratic; y = 100x2 + 0.79
c. exponential; y = 100 * 0.79x
d. quadratic; y = 0.79x2 + 100

Describe the relationship between the angles of similar triangles and the sides of similar triangles

Does the function satisfy the hypotheses of the mean value theorem on the given interval? f(x) = 4x^2 + 3x + 4, [−1, 1] no, f is continuous on [−1, 1] but not differentiable on (−1, 1). no, f is not continuous on [−1, 1]. yes, f is continuous on [−1, 1] and differentiable on (−1, 1) since polynomials are continuous and differentiable on . there is not enough information to verify if this function satisfies the mean value theorem. yes, it does not matter if f is continuous or differentiable; every function satisfies the mean value theorem.

Estimate the area under the curve f(x) = 16 - x^2 from x = 0 to x = 3 by using three inscribed (under the curve) rectangles. answer to the nearest integer.