Question 25 of 33beginner🔧 ApplyVery Short1 mark

If f(x)=x2f(x) = x^2, find f(1.1)−f(1)(1.1−1)\frac{f(1.1) - f(1)}{(1.1 - 1)}.

Correct Answer

2.1

Exercise: Miscellaneous Exercise on Chapter 2 | Q: 2 | (Page 17)
For More Understanding

Explanation

This question tests the basic evaluation of a function and substitution. The student needs to find f(1.1) and f(1) using the given function f(x) = x², then substitute these values in the given expression. This is a straightforward numerical calculation problem from the Miscellaneous Exercise on Chapter 2.

Solution Steps

  1. Step 1: Given f(x) = x², find f(1.1). f(1.1) = (1.1)² = 1.21

  2. Step 2: Find f(1). f(1) = (1)² = 1

  3. Step 3: Substitute values in the expression. (f(1.1) - f(1))/(1.1 - 1) = (1.21 - 1)/(1.1 - 1)

  4. Step 4: Simplify. = 0.21/0.1 = 2.1

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