The function f(x) = –x2 − 2x + 15 is shown on the graph. what are the domain and range of the function? the domain is all real numbers. the range is {y|y < 16}. the domain is all real numbers. the range is {y|y ≤ 16}. the domain is {x|–5 < x < 3}. the range is {y|y < 16}. the domain is {x|–5 ≤ x ≤ 3}. the range is {y|y ≤ 16}.

The domain is all real numbers. The range is {y|y ≤ 16}

Step-by-step explanation:

we have

This is a the equation of a vertical parabola open downward

The vertex is a maximum

The vertex is the point (-1,16)

see the attached figure

therefore

The domain of the function is all real numbers ----> interval (-∞,∞)

Te range of the function is

All real numbers less than or equal to 16 ----> interval  (-∞,16]

c = 0.429t

step-by-step explanation:

the constant rate at which carlos harvests cassava is 35 minutes per 15 cassavas 15/35 = 0.429 cassava per minute

therefore, an equation that models the number of cassava (c) that harvest carlos in a time (t) is the following:

where t is the time in minutes.

this means that when 35 minutes have elapsed 15 cassava have been harvested, at 70 minutes 30 cassava have been harvested and so on.