Questions: Fall 2024 Online College Algebra Section 5.7 Question 3, 5.7.7 HW Score: 9.09%, 1 of 11 points Use the graph of the function f to solve the inequality. (a) f(x) > 0 (b) f(x) ≤ 0 (a) The solution set for f(x) > 0 is (Type your answer in interval notation.) (b) The solution set for f(x) ≤ 0 is (Type your answer in interval notation.)

Fall 2024 Online College Algebra
Section 5.7
Question 3, 5.7.7
HW Score: 9.09%, 1 of 11 points
Use the graph of the function f to solve the inequality.
(a) f(x) > 0
(b) f(x) ≤ 0

(a) The solution set for f(x) > 0 is
(Type your answer in interval notation.)

(b) The solution set for f(x) ≤ 0 is
(Type your answer in interval notation.)

Transcript text: Fall 2024 Online College Algebra Section 5.7 Question 3, 5.7.7 HW Score: 9.09%, 1 of 11 points Use the graph of the function f to solve the inequality. (a) f(x) > 0 (b) f(x) ≤ 0 (a) The solution set for f(x) > 0 is (Type your answer in interval notation.) (b) The solution set for f(x) ≤ 0 is (Type your answer in interval notation.)

Solution

Solution Steps

Step 1: Understand the Problem

The problem requires using the graph of a function to solve the inequality \( f(x) \leq 0 \). The graph of the function is provided.

Step 2: Identify the Relevant Points on the Graph

Examine the graph to identify the points where the function \( f(x) \) intersects the x-axis. These points are the solutions to \( f(x) = 0 \).

Step 3: Determine the Intervals

Determine the intervals on the x-axis where the function \( f(x) \) is less than or equal to zero. These intervals are between the x-intercepts identified in the previous step.