Given the function h(x)=-x^2+4x+12, determine the average rate of change of the function over the interval −2≤x≤4.
1 answer:
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Answer:
a-b divided into
the reason is that the (a-b) vs (a+b) in the "SOAP"
same, opposite, always a plus the "-" in the "a-b" has to match the
sign between the two cubes
Step-by-step explanation:
<h2>Answer: slope = - ¹³/₁₇ </h2>
Step-by-step explanation:
The question gives us two points, (9,-6) and (-8,7), from which we can find the slope and later the equation of the line.
<u>Finding the Slope </u>
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
= (7 - (- 6)) ÷ (-8 - 9)
= - ¹³/₁₇
<em><u>Checking my answer:</u></em>
Finding the Equation
<em>We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:</em>
<em> ⇒ </em><em>y - (-6) = - ¹³/₁₇ (x - 9)</em>
<em> </em>
<em>To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.</em>