The average rate of change for the function f(x)= 3^x + 25 using the intervals of x=2 to x=6 is 6.75
The function is given as:
f(x) = 3^x + 25
The interval is given as:
x = 2 to 6
Start by calculating f(2) and f(6)
f(2) = 3^2 + 25 = 34
f(6) = 6^2 + 25 = 61
The average rate of change is then calculated as:
This gives
m = 6.75
Hence, the average rate of change is 6.75
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A number line goes from negative 10 to positive 10. An open circle appears at negative 9. The number line is shaded from negative 9 through positive 10.
Step-by-step explanation:
The inequality is given as;
-3x-7<20 which can be solved as
-3x < 20+7 -----collecting like terms
-3x < 27 -------divide both sides by -3
x > -9 -----change the sign direction because you divided by
plotting the solution x > -9 on a graph tool gives
Learn More
solving inequalities by graph :brainly.com/question/11688212
Keywords : number line, open circle, solution, graph, inequality
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