A Function Is Linear for X $\le$ 2 and Also Linear for X

question 45

Multiple Choice

A function is linear for x $\le$ 2 and also linear for x $\ge$ 2.This function has the following values: f(-4) = 8; f(2) = 5; f(4) = 11.Find formula(s) (or equation(s) ) which describe this function.

• A) \(f(x)=\left\{\begin{array}{ll}
• \frac{1}{2} x+4, & x \leq 2 \\
• -3 x+11, & x \geq 2
• \end{array}\right.\)
• B) \(f(x)=\left\{\begin{array}{cc}
• 2 x+6, & x \leq 2 \\
• \frac{1}{3} x-11, & x \geq 2
• \end{array}\right.\)
• C) \(f(x)=\left\{\begin{array}{cc}
• -2 x+9, & x \leq 2 \\
• 3 x-1, & x \geq 2
• \end{array}\right.\)
• D) \(f(x)=\left\{\begin{array}{cl}
• -\frac{1}{2} x+6, & x \leq 2 \\
• 3 x-1, & x \geq 2
• \end{array}\right.\)

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