Question

can someone help me, Just the answer don’t worry about explaining everything, Im really bad on Math :(

Answer 1

Answer:

a. -2 b. -2 c. -1 d. 4 e. -3 f. 0

Step-by-step explanation:

The average rate of change formula is:

$\frac{y_{2}- y_{1}}{x_{2}-x_{1}}$

a.  

We need to find the rate of change for x = -3 to x = -2 so we look on the graph to find y.

At x = -3 it look like y = 0  so

$x_{1} = -3$

$y_{1} = 0$

At x = -2 it looks like y = 2

$x_{2} = -2$

$y_{2} = 2$

Now we can just plug everything in to the rate of change formula.

$\frac{y_{2}- y_{1}}{x_{2}-x_{1}} = \frac{2- 0}{-3-(-2)} = \frac{2- 0}{-3+2} = \frac{2}{-1}$ = -2

So for a. our rate of chage for the given interval is -2

b.

Now that you have the formula we don't need to explain each time.

$x_{1} =$ -2

$y_{1} =$ 2

$x_{2} =$ 1

$y_{2} =$ - 4

$\frac{y_{2}- y_{1}}{x_{2}-x_{1}} = \frac{-4- 2}{1-(-2)} = \frac{-4-2}{1+2} = \frac{-6}{3}$ = -2

c.

$x_{1} =$ 0

$y_{1} =$ -3

$x_{2} =$ 1

$y_{2} =$ - 4

$\frac{y_{2}- y_{1}}{x_{2}-x_{1}} = \frac{-4-(-3)}{1-0} = \frac{-4 + 3}{1-0} = \frac{-1}{1}$ = -1

d.

$x_{1} =$ 1

$y_{1} =$ -4

$x_{2} =$ 2

$y_{2} =$ 0

$\frac{y_{2}- y_{1}}{x_{2}-x_{1}} = \frac{0 - (-4)}{2-1} = \frac{0 + 4}{2-1} = \frac{4}{1}$ = 4

e.

$x_{1} =$ -1

$y_{1} =$ 0

$x_{2} =$ 0

$y_{2} =$ -3

$\frac{y_{2}- y_{1}}{x_{2}-x_{1}} = \frac{-3- 0}{0-(-1)} = \frac{-3- 0}{0+1} = \frac{-3}{1}$ = -3

f.

$x_{1} =$ -1

$y_{1} =$ 0

$x_{2} =$ 2

$y_{2} =$ 0

$\frac{y_{2}- y_{1}}{x_{2}-x_{1}} = \frac{0- 0}{2-(-1)} = \frac{0- 0}{2+1} = \frac{0}{3}$ = 0