Use the image to answer the question.

A curve passes through quadrants 4 and 1 of a coordinate plane where the x-axis ranges from 0 to 5 in units of 0.2 and the y-axis ranges from negative 2 to 2, also in units of 0.2. Both axes are labeled at increments of 1.

Which of the following most accurately identifies the relative extrema in the graph?

(1 point)
Responses

There is a relative maximum at (1.5,0)
and (4,0)
and a relative minimum at about (3,1)
.
There is a relative maximum at left parenthesis 1.5 comma 0 right parenthesis and left parenthesis 4 comma 0 right parenthesis and a relative minimum at about left parenthesis 3 comma 1 right parenthesis .

There is a relative minimum at (4,0)
and a relative maximum at about (3,1)
.
There is a relative minimum at left parenthesis 4 comma 0 right parenthesis and a relative maximum at about left parenthesis 3 comma 1 right parenthesis .

There is a relative maximum at (4,0)
and a relative minimum at (3,1)
.
There is a relative maximum at left parenthesis 4 comma 0 right parenthesis and a relative minimum at left parenthesis 3 comma 1 right parenthesis .

There is a relative minimum at (1.5,0)
and (4,0)
and a relative maximum at about (3,1)
.

1 answer

Based on the description of the curve passing through quadrants 4 and 1 and the specified points, the correct identification of the relative extrema is:

There is a relative maximum at (1.5,0) and (4,0) and a relative minimum at about (3,1).

This option identifies the maxima and minima correctly according to the given coordinates.