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The Secant Line

Drag point to x = 5

Find the average rate of change from x = 2 to x = 5 for f(x) = x²

Calculate the Slope

Drag to formula

Point A
(2, 4)
Point B
(5, 25)
m =
{{ s2_slots.y2.val || 'y₂' }}
-
{{ s2_slots.y1.val || 'y₁' }}
{{ s2_slots.x2.val || 'x₂' }}
-
{{ s2_slots.x1.val || 'x₁' }}
= 7
{{ item.val }}

Constant Rate

Drag handles to find slope = 0

Find an interval [a, b] where the average rate of change is 0.

Final Challenge

Slide to set average rate

Find the rate of change for f(x) = −x² + 16 on [−1, 3]
{{ s4_sliderValue }}
-10010