1.Let f:R→Rf: \mathbb{R} \to \mathbb{R}f:R→R be a function defined as f(x)={5,x≤1a+bx,1<x<3b+5x,3≤x<530,x≥5f(x) = \begin{cases} 5, & x \le 1 \\ a + bx, & 1 < x < 3 \\ b + 5x, & 3 \le x < 5 \\ 30, & x \ge 5 \end{cases}f(x)=⎩⎨⎧5,a+bx,b+5x,30,x≤11<x<33≤x<5x≥5 Then fff is:a.continuous if a=−5a = -5a=−5 and b=10b = 10b=10b.continuous if a=0a = 0a=0 and b=5b = 5b=5c.not continuous for any values of aaa and bbbd.continuous if a=5a = 5a=5 and b=5b = 5b=5Login to continueOnly logged in users canattempt or see the solution.
