Given:
[tex]f(x)=2x^2+5x+2[/tex]Find-: Continuous interval.
Sol:
[tex]y=2x^2+5x+2[/tex]Domain: Domain defines all possible input values for the function.
So Domain of function is all real value.
[tex]x\in\Re[/tex]So function gives some output for all real values so it's continuous in all real values.
So interval for continuous is:
[tex]\begin{gathered} \text{ Continuous on }\Re\text{ }(\text{ all real value\rparen } \\ \\ \text{ Interval \lparen-}\infty,\infty) \end{gathered}[/tex]