Question

# Explain why it would be beneficial to choose the inputs -8, -4, 0 , 4, and 8 for the function

Hint:

### We need to input these values while making a table for the values of different values of x and corresponding values of y. These values are also used to make a graph of the equation.

## The correct answer is: 4

*Step by step solution:*

The given equation is

While making a table for the values of x and y, we prefer to choose the values -8, -4, 0, 4, 8.

In the right hand side of the given equation, the first term is a fraction with denominator 4.

So we choose to take multiples of 4 as values of x in the numerator so that we can easily remove the fraction and get an integral value. This makes calculating the value of y easier and does not involve any fractions. It is also easier to plot integral values in the xy plane while making a graph.

Integral values means the value of an integer, that is, the value should be number, either positive or negative. The above method of choosing x in such a way that there is no fraction or square root left is a very important trick required while making a graph of the equation.

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