The function $ f(x) = 3(1.8)^x $ is an exponential function.a. Determine the value of the ratio $ \frac{\Delta f(x)}{\Delta x} $ over the following intervals of $ x $: i. From $ x = 0 $ to $ x = 1.5 $.\[ \frac{\Delta f(x)}{\Delta x} = \, \text{[Input field]} \, \text{Preview button} \] ii. From $ x = 1.5 $ to $ x = 3 $.\[ \frac{\Delta f(x)}{\Delta x} = \, \text{[Input field]} \, \text{Preview button} \] iii. From $ x = 3 $ to $ x = 5 $.\[ \frac{\Delta f(x)}{\Delta x} = \, \text{[Input field]} \, \text{Preview button} \]b. Does the function $ f $ have a constant rate of change?- $ \circ $ No, because the ratio $ \frac{\Delta f(x)}{\Delta x} $ is not constant.- $ \circ $ Yes, because any time $ x $ changes by 1, $ f(x) $ changes by the same amount.- $ \circ $ Yes, because the ratio $ \frac{\Delta f(x)}{\Delta x} $ is constant for any change in $ x $.[Submit button]

we have been given the function f(x)=3(1.8)x and we have to find the value of ∆f(x)∆x where x is…

The function f(x) = 3(1.8)" is an exponential function. Af(x) a. Determine the value of the ratio over the following intervals of æ: i. From æ = 0 to a = 1.5. Af(x) Preview ii. From x = 1.5 to x = 3. Af(x) Preview Δε iii. From x = 3 to x = 5. Af(x) Preview b. Does the function ƒ have a constant rate of change?

The function f(x) = 3(1.8)" is an exponential function. Af(x) a. Determine the value of the ratio over the following intervals of æ: i. From æ = 0 to a = 1.5. Af(x) Preview ii. From x = 1.5 to x = 3. Af(x) Preview Δε iii. From x = 3 to x = 5. Af(x) Preview b. Does the function ƒ have a constant rate of change?

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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