1. -/1 points details my notes tanapcalc10 4.4.003. you are given the graph of a function f defined on the…

1. -/1 points details my notes tanapcalc10 4.4.003. you are given the graph of a function f defined on the interval (-∞, ∞). find the coordinates of the absolute maximum and the absolute minimum of f, if they exist. (if an answer does not exist, enter dne.) maximum (x, y) = () minimum (x, y) = ()

1. -/1 points details my notes tanapcalc10 4.4.003. you are given the graph of a function f defined on the interval (-∞, ∞). find the coordinates of the absolute maximum and the absolute minimum of f, if they exist. (if an answer does not exist, enter dne.) maximum (x, y) = () minimum (x, y) = ()

Answer

Explanation:

Step1: Analyze the graph

The graph is a parabola opening upwards on the interval $(-\infty,\infty)$.

Step2: Determine the absolute - maximum

As the function extends to infinity in both directions, there is no upper - bound. So the absolute maximum does not exist.

Step3: Determine the absolute - minimum

The vertex of the parabola is the lowest point. From the graph, the vertex is at the point $(0,0)$.

Answer:

maximum $(x,y)=$ DNE minimum $(x,y)=(0,0)$