In Exercises 73–74, use the graph of the rational function to solve each inequality.
1/4(x + 2) ≤ - 3/4(x - 2)
Verified step by step guidance
1
Step 1: Identify the rational function from the graph. The given function is .
Step 2: Determine the vertical asymptotes by setting the denominator equal to zero and solving for x. .
Step 3: Solve the equation to find the vertical asymptotes. This gives and .
Step 4: Determine the horizontal asymptote by comparing the degrees of the numerator and the denominator. Since the degree of the denominator is higher, the horizontal asymptote is .
Step 5: Analyze the graph to determine the intervals where the function is positive or negative. Use the vertical asymptotes and the behavior of the function around these points to solve the inequality.
Recommended similar problem, with video answer:
Verified Solution
This video solution was recommended by our tutors as helpful for the problem above