### Home > CALC > Chapter 6 > Lesson 6.3.1 > Problem 6-86

Sketch the graph of

*y*= 2^{x}^{ }and its inverse. Label all intercepts. Homework Help ✎Find the equation of the line tangent to the graph of

*y*= 2^{x}^{ }at its*y*-intercept.Find the equation of the line tangent to the graph of

*y*= log_{2}*x*at its*x*-intercept.Graph both of these lines. What is their relationship?

Use the tangent line in part (a) to approximate the value of

*y*when*x*= 0.1. Is your estimate an under or over approximation of the actual value? How do you know using concavity?

Use point-slope form.

Refer to hint in part (a).

Sketch the tangent lines. Are they parallel? Are they perpendicular? Neither?

Look at their equations... describe a pattern you see in their slopes.

Recall that the concavity of the graph determines whether tangent lines lie above or below the curve.