Specialist2024 Exam 2 Section A · Q2CAS active1 mark

Continuity of a piecewise rational function

Consider the function $f$ with rule $f(x)=\begin{cases} \dfrac{x^2+3x-10}{x-2}, & x \in R \setminus \{2\} \\ 7, & x=2 \end{cases}$

Which of the following statements is correct?

1 mark

AThe function

f

is continuous.BThe graph of

y=f(x)

has a vertical asymptote.CThe graph of

y=f(x)

has a horizontal asymptote.DThe graph of

y=f(x)

has a point of discontinuity.

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