Equations don't really have x intercepts, functions or curves do. They're also known as the zeros of the function. When we set a function equal to zero we get an equation to solve, and the zeros of the function become the solutions or roots of the equation.
If a quadratic equation only has one root, that's a repeated root corresponding to a discriminant of zero.
In this example our equation is something like , or expanded
The discriminant here is
Answer: The required point is A(6, 3) in the attached graph.
Step-by-step explanation: We are to find the point on the given graph that shows the price of 6 ounces of cheese.
The formula to be used is given by
Given that,
when x = 2 then y = 1. That is, price of 2 ounces of cheese is $1.
when x = 7 then y = 3.5. That is, price of 7 ounces of cheese is $3.5.
when x = 14 then y = 7. That is, price of 14 ounces of cheese is $7.
Therefore, these points satisfy the given relation (i).
Hence, if x = 6, then from equation (i), we have
Thus, the price of 6 ounces of cheese is &3. This gives that the required point is A(6, 3) on the graph attached below.
