PLEASE HELP!!! Which of the following values are in range of the function graphed below? Check all that apply.

Mathematics

2 answers:

Maru [420]3 years ago

3 0

Answer:

B. -4

Step-by-step explanation:

The function only has one y-value: -4. That is the entirety of its range.

galben [10]3 years ago

3 0

Answer:

-4 is in range of the function graphed

Step-by-step explanation:

Range is the set of y values for which the function is defined

To find the range of the given function we look at the value of y

In the give graph , we have red line below y axis at -4

the graph is only at y=-4. so the range of the given function is only -4

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What is the average rate of change of f(x) = -x2 + 3x + 6 over the interval –3

Rufina [12.5K]

Answer:

$\frac{\Delta y}{\Delta x} =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3$

Step-by-step explanation:

To find the average rate of change of a function over a given interval, basically you need to find the slope. The mathematical definition of the slope is very similar to the one we use every day. In mathematics, the slope is the relationship between the vertical and horizontal changes between two points on a surface or a line. In this sense, the slope can be found using the following expression:

$Average\hspace{3}rate\hspace{3}of\hspace{3}change=Slope=\frac{y_2-y_1}{x_2-x_1} =\frac{f(x_2)-f(x_1)}{x_2-x_1}$