Let g be differentiable with g(1) = 2, g(1) = 3, and a tangent line approximation of g(1.024) = 2.65. If the g is concave up at x = 1, what does that mean about the approximation for g(1.024)?

answers:

The value of 2.65 is an overestimate because the tangent line falls above g.

The value of 2.65 is an underestimate because the tangent line falls below g.

The value of 2.65 is an underestimate because the tangent line falls above g.

The value of 2.65 is an overestimate because the tangent line falls below g.