Question

What is the domain of y=-16x^2+335x+7

Answer 1

Let's begin by identifying key information given to us:

`\begin{gathered} y=-16x^2+335x+7​ \\ x=-10 \\ y=-16(-10)^2+335(-10)+7=-4943 \\ y=-4943 \\ \\ x=0 \\ y=-16(0)+335(0)+7=7 \\ y=7 \\ \\ x=10 \\ y=-16(10)^2+335(10)+7=1757 \\ y=1757 \end{gathered}`

The domain of an expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Therefore the interval notation for this function is:

`(-\infty,\infty)`