The graph shows the function f(x). What is the function's average rate from x = 7 to x = 11.

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asked Mar 15, 2018 26.7k views

1 Answer

DejanRistic · Answer 1 · 2018-03-21T04:29:03+0000

well, hmmm let's see, when x = 7, y is hmmm way up above, is 19
and when x = 11, y is 11 also

so, we have the points of ( 7 , 19 ) and ( 11 , 11 )

thus
$\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ 7}}\quad ,&{{ 19}})\quad % (c,d) &({{ 11}}\quad ,&{{ 11}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{11-19}{11-7}\impliedby \begin{array}{llll} average\ rate\\ of\ change \end{array}$

The graph shows the function f(x). What is the function's average rate from x = 7 to x = 11.

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