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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a) Write an equation that relates the amount left on the card ,y , over time x.
b) Make a graph of the function
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