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 the equation of a vertical parabola open downward

The vertex is a maximum

Find the vertex of the quadratic equation

-----> equation in vertex form

The vertex is the point (-1,16)

therefore

The domain is the interval ----> (-∞,∞)  All real numbers

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

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation:

y=20x

: )

hope this