First Derivative Test

A relative maximum at x=a

A relative minimum at x=a

No relative extrema at x=a

A vertical tangent line at x=a

decreasing

increasing

concave up

constant

Inflection points are points where the curve intersects the x-axis

Inflection points are points where the curve intersects the y-axis

Inflection points are points where the curve is at its highest or lowest

Inflection points in calculus are points on a curve where the concavity changes, indicating a change in the direction of the curve's curvature.

True

False

(-1,0)

(0,1)

(-∞,-1) and (1,∞)

(-1,0) and (1, $$\infty$$  )

(0,-1)

(-1,-5)

(2,-5)

(5,49)