Maths-
General
Easy

Question

Explain why it would be beneficial to choose the inputs -8, -4, 0 , 4, and 8 for the function
straight Y equals fraction numerator 3 x over denominator 4 end fraction minus 2

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
    straight Y equals fraction numerator 3 x over denominator 4 end fraction minus 2
    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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