Please help me understand this # Fluency1. The piecewise linear function \( f(x) \) is shown to the right. Answer the following questions based on its graph: (a) Evaluate each of the following based on the graph: (i) \( f(4) = \) (ii) \( f(-3) = \) (b) State the zeroes of \( f(x) \). (c) Over which of the following intervals is \( f(x) \) always increasing? (1) \(-7 < x < -3\) (2) \(-3 < x < 5\) (3) \(-5 < x < 5\) (4) \(-5 < x < 3\) (d) State the coordinates of the relative maximum and the relative minimum of this function. - Relative Maximum: ________________ - Relative Minimum: ________________ (e) Over which of the following intervals is \( f(x) < 0 \)? (1) \(-7 < x < -3\) (2) \(2 < x \leq 7\) (3) \(-5 < x < 2\) (4) \(-5 \leq x \leq 2\) (f) A second function \( g(x) \) is defined using the rule \( g(x) = 2f(x) + 5 \). Evaluate \( g(0) \) using this rule. What does this correspond to on the graph? (g) A third function \( h(x) \) is defined by the formula \( h(x) = x^3 - 3 \). What is the value of \( g(h(2)) \)? Show how you arrived at your answer.# Explanation of the GraphThe graph is of the piecewise linear function \( f(x) \). It appears to have three linear segments. The function decreases from the left, reaches a minimum, increases to a relative maximum, and then decreases again. The exact coordinates of the relative maximum and minimum are not specified in the image, but they can be found by evaluating the turning points on the graph. The graph intersects the x-axis at two points, indicating the zeroes of \( f(x) \). The graph is

Name: Please help me understand this # Fluency1. The piecewise linear functi
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: Please help me understand this # Fluency1. The piecewise linear function \( f(x) \) is shown to the right. Answer the following questions based on its graph: (a) Evaluate each of the following based on the graph: (i) \( f(4) = \) (ii) \