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]

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line y = 120,000.

step-by-step explanation:

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.