Question

The graph shows the distance ofa remote control drone above theground as it flies west to east. Thex-axis represents the distance from acentral point and the y-axis representsthe distance above the ground, in m.411-21021. What is the range of the functionand what does it represent?

Answer 1

Part 1

For this question we need to remember that the range is defined as:

$\text{Range}=\text{Max}-Mi$

And if we look at the function we see that Min =0 and Max= 5 so then we have:

$\text{Range}=5-0=5$

And the range represent the lenght of the codomain of a function

Part 2

The domain for this case is given by:

$\text{Domain}=\left\lbrack -4,4\rbrack\right?$

And it represent all te possible values of x that the function can assume

Part 3

For this case we identify two intervals where the height is increasing:

[-4,-2] and [0,4]

But the longest interval is :[0,4]

Part 4

The x intercept represent the values when the function satisfy that y=0 and we have:

x intercepts: x=-4, x=0

Part 5

The average rate of change between [-4,4] is given by:

$m=\frac{3-0}{4-(-4)}=\frac{3}{8}$

And then the answer for this case would be 3/8