The graph of a function is shown on the coordinate plane below. Identify the rate of change of the function.
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Answer: -5
Step-by-step explanation:
The rate of change of the function, sometimes referred to as the slope or the gradient of the line, can be found with the following formula:
[tex]\displaystyle \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
Using this formula and the given coordinate points from the graph of the function, we will identify the rate of change.
[tex]\displaystyle \frac{y_{2} -y_{1} }{x_{2} -x_{1} } =\frac{1--4}{0-1} =\frac{1+4}{-1} =\frac{5}{-1}=-5[/tex]