Questions: For the graph of a function y=f(x) shown to the right, find the absolute maximum and the absolute minimum, if they exist. Identify any local maxima or local minima. Select the correct answer below and, if necessary, fill in the answer boxes to complete your choice. A. The absolute maximum of y=f(x) is f()= . (Type integers or simplified fractions.) B. There is no absolute maximum for y=f(x). Select the correct answer below and, if necessary, fill in the answer boxes to complete your choice. A. The absolute minimum of y=f(x) is f()= (Type integers or simplified fractions.) . B. There is no absolute minimum for y=f(x).

$For the graph of a function y=f(x) shown to the right, find the absolute maximum and the absolute minimum, if they exist. Identify any local maxima or local minima. Select the correct answer below and, if necessary, fill in the answer boxes to complete your choice. A. The absolute maximum of y=f(x) is f()= . (Type integers or simplified fractions.) B. There is no absolute maximum for y=f(x). Select the correct answer below and, if necessary, fill in the answer boxes to complete your choice. A. The absolute minimum of y=f(x) is f()= (Type integers or simplified fractions.) . B. There is no absolute minimum for y=f(x).$

Transcript text: For the graph of a function $y=f(x)$ shown to the right, find the absolute maximum and the absolute minimum, if they exist. Identify any local maxima or local minima. Select the correct answer below and, if necessary, fill in the answer boxes to complete your choice. A. The absolute maximum of $y=f(x)$ is $f(\square)=$ $\square$ . (Type integers or simplified fractions.) $\square$ B. There is no absolute maximum for $y=f(x)$. Select the correct answer below and, if necessary, fill in the answer boxes to complete your choice. A. The absolute minimum of $y=f(x)$ is $f(\square)=$ $\square$ $\square$ (Type integers or simplified fractions.) . B. There is no absolute minimum for $y=f(x)$.

Solution

Solution Steps

Step 1: Identify the Absolute Maximum

The absolute maximum is the highest point on the graph.
From the graph, the highest point is at (7, 6).

Step 2: Identify the Absolute Minimum

The absolute minimum is the lowest point on the graph.
From the graph, the lowest point is at (3, 4).

Step 3: Identify Local Maxima and Minima

Local maxima are points where the function changes from increasing to decreasing.
Local minima are points where the function changes from decreasing to increasing.
From the graph, the local maxima are at (1, 6) and (7, 6).
The local minimum is at (5, 7).