Question

assume arrows if no symbols are shown at the ends of the graph. state your answers using interval notation. consider the function graphed below. a. the function has a local maximum of x = at y = b. the function has a local minimum of x = at y =

Explanation:

Part a: Local Maximum

Step1: Identify local max x

Look at the graph's peak. The x - coordinate of the peak (local maximum) is at \( x = 0 \) (from the grid, the highest point horizontally is at x = 0).

Step2: Identify local max y

The y - coordinate at \( x = 0 \) (the peak) is 6 (from the grid, the vertical value at x = 0 is 6).

Part b: Local Minimum

Step1: Identify local min x

Look at the graph's lowest point (the valley). The x - coordinate of the valley (local minimum) is at \( x = 6 \) (from the grid, the lowest point horizontally is at x = 6).

Step2: Identify local min y

The y - coordinate at \( x = 6 \) (the valley) is 0 (from the grid, the vertical value at x = 6 is 0).

Answer:

a. \( x=\boldsymbol{0} \) at \( y = \boldsymbol{6} \)
b. \( x=\boldsymbol{6} \) at \( y=\boldsymbol{0} \)