Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
Letter D.
![1. Consider the function f(x) with the graph:
3
2
3
5
6.
(a) What is the average value of f over the interval [0, 2]?
(b) What is the average value of f over the interval [0, 4]?
(c) What is the average value of f over the interval [0, 6|?
(d) What is the average value of f over the interval [2, 6]?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3bb7c04b-31f7-4ac4-b04e-9c07278fceb0%2Fba89c572-1552-49b7-8105-5092e962ff0d%2Fi5oz5x_processed.png&w=3840&q=75)
Given that:
Graph of the function f(x) :
By using,
Average value of the function:
The average height of the graph of a function , Foy y = f (x) over the interval [ a, b], the formula given by,
Average = .
Area of rectangle =
Area of trapezium =
d ) To find the average value of f over the interval [2, 6]:
Bu using the graph of the function f(x),
Average value for [ 2, 6]:
By using the above formula,
Average =
= Area between x = 2 to x = 6
= Area of rectangle between x = 2 to x = 4 + Area of trapezium between x = 4 to x = 5 + Area of rectangle between x = 5 to x = 6.
[ 2, 4] = Rectangle
Area of rectangle = = 2 = 4
= 4
[ 4, 5] = Trapezium
Area of trapezium =
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