5. How might we find an approximation for instantaneous rate of change closer to the true...

 

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5. How might we find an approximation for instantaneous rate of change closer to the true value? Consider the instantaneous rate of change of f(x) = x - 6x + 8x + 3 at x = 0.5. 6. Determine the average rate of change of the given function over the given interval. a) f(x) = sin x over [3] b) f(x) = 2x over [0,1] 7. Estimate the instantaneous rate of change of the given function at the x value. a) f(x) = sin x at xo b) f(x) = 2x at x = 1 c) f(x) = = TC 6 8. Consider the graph below. Describe the characteristics of the rate of change as you move from left to right. c) f(x) = x= over [1,5] x-1 x+1 10 -10 0 x-1 x+1 at x = 3 5. How might we find an approximation for instantaneous rate of change closer to the true value? Consider the instantaneous rate of change of f(x) = x - 6x + 8x + 3 at x = 0.5. 6. Determine the average rate of change of the given function over the given interval. a) f(x) = sin x over [3] b) f(x) = 2x over [0,1] 7. Estimate the instantaneous rate of change of the given function at the x value. a) f(x) = sin x at xo b) f(x) = 2x at x = 1 c) f(x) = = TC 6 8. Consider the graph below. Describe the characteristics of the rate of change as you move from left to right. c) f(x) = x= over [1,5] x-1 x+1 10 -10 0 x-1 x+1 at x = 3