use the graph to answer the question: (0, 3), (-2, -1)

Question

sekou sketched the graph shown based on a verbal description. fill in the blanks to tell what information she was likely given.
the initial value of the function is __3____
the function has a constant rate of change equal to __?____

Answer 1

To determine the constant rate of change from the given points (0, 3) and (-2, -1), we can use the formula for slope (rate of change):

\[ \text{Rate of Change} = \frac{y_2 - y_1}{x_2 - x_1} \]

Using the points (0, 3) and (-2, -1):

• Let (x1, y1) = (0, 3)
• Let (x2, y2) = (-2, -1)

Now, substituting into the formula: \[ \text{Rate of Change} = \frac{-1 - 3}{-2 - 0} = \frac{-4}{-2} = 2 \]

So, the information Sekou was likely given would be filled in as follows:

The initial value of the function is 3
The function has a constant rate of change equal to 2.