turkey-yks 2010 Q6

turkey-yks · Other · lys1-math Composite & Inverse Functions Injectivity, Surjectivity, or Bijectivity Classification

A function defined from real numbers to a subset $K$ of real numbers $$f(x) = \begin{cases} -x+8, & \text{if } x < 3 \\ x+2, & \text{if } x \geq 3 \end{cases}$$ Given that the function is surjective, which of the following is the set $K$?
A) $[3, \infty)$
B) $[5, \infty)$
C) $[3,5]$
D) $(-\infty, 5)$
E) $(-\infty, 3)$

A function defined from real numbers to a subset $K$ of real numbers
$$f(x) = \begin{cases} -x+8, & \text{if } x < 3 \\ x+2, & \text{if } x \geq 3 \end{cases}$$
Given that the function is surjective, which of the following is the set $K$?

A) $[3, \infty)$\\
B) $[5, \infty)$\\
C) $[3,5]$\\
D) $(-\infty, 5)$\\
E) $(-\infty, 3)$

Paper Questions

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