Question

question 19 (multiple choice worth 1 points)
(federal income taxes and piecewise functions lc)

determine \\(f(5)\\) for \\(f(x) = \

$$\begin{cases} x^3, & x < -3 \\\\ 2x^2 - 9, & -3 \\le x < 4 \\\\ 5x + 4, & x \\ge 4 \\end{cases}$$

\\)

• 11
• 29
• 41
• 125

Explanation:

Identify the correct interval for the input

$$ x = 5 \implies 5 \ge 4 $$

Evaluate the corresponding function piece

$$ f(5) = 5(5) + 4 = 25 + 4 = 29 $$

Answer:

• (A) 11
• (B) 29 (Correct answer)
• (C) 41
• (D) 125