Question

Sketch in a plausible tangent line at the given point. (HINT: Mentally zoom in on the point and use the zoom image of the tangent.)

Answer 1

A tangent line is a line that is parallel to the function at that point. At \[x=\pi\]what does the curve look like? Can you draw a line that touches the curve, and seems to match it fairly closely?

Answer 2

Umm i ned help with the sketching part.

Answer 3

If you look at the shape of the curve at x=pi, what kind of line would match most closely? Draw that line on top of the curve at that point.

Answer 4

so that would be the line?

Answer 5

You drew it in about the right spot, but does the slope of the line look close to the slope of the curve at that point? At x=pi, is the curve going up or down?

Answer 6

its going down

Answer 7

Right, so your tangent line should also be going down, trying to match the curve right where x=pi.