Questions: The graph of y=f(x) is shown to the right. Identify the x-coordinates of the points where f(x) has a local minimum. Which of the following shows every x-coordinate where f(x) has a local minimum? Choose the correct answer below. A. a, d, 9 B. a, c, 9 C. d, g D. b, 1

The graph of y=f(x) is shown to the right. Identify the x-coordinates of the points where f(x) has a local minimum.

Which of the following shows every x-coordinate where f(x) has a local minimum? Choose the correct answer below.
A. a, d, 9 B. a, c, 9
C. d, g D. b, 1

Transcript text: The graph of $y=f(x)$ is shown to the right. Identify the x-coordinates of the points where $f(x)$ has a local minimum. Which of the following shows every x-coordinate where $\mathrm{f}(\mathrm{x})$ has a local minimum? Choose the correct answer below. A. a, d, 9 B. a, c, 9 C. d, g D. b, 1

Solution

Solution Steps

Step 1: Identify the local minima on the graph

Examine the graph of $ y = f(x) $ to identify the points where the function has local minima. Local minima occur at points where the graph changes direction from decreasing to increasing.

Step 2: Determine the x-coordinates of the local minima

From the graph, observe the x-coordinates where the function has local minima. These are the points where the curve reaches a low point before rising again.

Step 3: List the x-coordinates of the local minima

Identify the specific x-coordinates corresponding to the local minima. In this graph, the local minima occur at points $ d $ and $ g $.