Question

Which of the following functions are discontinuous? I-2 1. f(x) = T²+3x+2 4x²+2x-6 II. f(x) = III. f(x) = A. III only B. II and III only OC. I and III only D. I, II, and III 2 2z²+3z-1 Reset Selection

Answer 1

Step-by-step explanation

`\mathrm{Function}\:f\left(x\right)\:\mathrm{is\:continuous\:on\:interval}\:\left[a,\:b\right]\:\mathrm{if\:it\:is\:continuous\:at\:every\:point.}`

So for the first one

`\begin{gathered} f(x)=(x-2)/(x^2+3x+2) \\ This\text{ is discontinuous} \\ \end{gathered}`

For the second one

`\begin{gathered} f(x)=(4x^2+2x-6)/(2) \\ This\text{ is also continuous} \end{gathered}`

For the last one

`\begin{gathered} f(x)=(2x^2+3x-1)/(x+5) \\ This\text{ is discontinous} \end{gathered}`

Therefore, the answers are options 1 and 111

Thus, option C is correct