The rate of change of function is -2
Further explanation:
The formula for calculating rate of change of function is:
[tex]Rate\ of\ change = \frac{f(b)-f(a)}{b-a}[/tex]
Here,
a = -5
b = 6
So,
[tex]f(-5) = (-5)^2-3(-5)-5\\= 25+15-5\\= 35\\f(6) = (6)^2-3(6)-5\\= 36-18-5\\= 13[/tex]
Putting the values in the formula
[tex]Rate\ of\ change = \frac{f(6)-f(-5)}{6-(-5)}\\= \frac{13-35}{6+5}\\=\frac{-22}{11}\\=-2[/tex]
The rate of change of function is -2
Keywords: Rate of change of function, functions
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