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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Find the rate of change of the function h(x) = 2x on the interval 2 ≤ x ≤ 4?
Solution:
Consider f as the function defined on the interval a ≤ x ≤ b, so the rate of change of function A(x) is denoted as
A(x) = [f(b) - f(a)]/[b - a]
When x = 2
h(2) = 22 = 4
When x = 4
h(4) = 24 = 16
From the definition of rate of change of function
A (x) = [h(4) - h(2)]/[4 - 2]
We know that,
h(2) = 4 and h(4) = 16
A(x) = [16 - 4]/2
A(x) = 12/2
A(x) = 6
Therefore, the rate of change of function is 6.
Find the rate of change of the function h(x) = 2x on the interval 2 ≤ x ≤ 4?
Summary:
The rate of change of the function h(x) = 2x on the interval 2 ≤ x ≤ 4 is 6.
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