Question

Find the interval where f(x) = 2x^2+ 5x+2 is continuous.

Answer 1

Given:

`f(x)=2x^2+5x+2`

Find-: Continuous interval.

Sol:

`y=2x^2+5x+2`

Domain: Domain defines all possible input values for the function.

So Domain of function is all real value.

`x\in\Re`

So function gives some output for all real values so it's continuous in all real values.

So interval for continuous is:

`\begin{gathered} \text{ Continuous on }\Re\text{ }(\text{ all real value\rparen } \\ \\ \text{ Interval \lparen-}\infty,\infty) \end{gathered}`