1. consider the function f(x) defined in two pieces:

f(x)={1 for x is greater than or equal to 0}
{ x^2x for x > 0}

graph this function. by choosing appropriate secant lines, estimate the slope of the tangent line to f(x) at x = 1.

2. using slopes of secant lines, estimate to three decimal places the slope of the tangent line to the graph of the exponential function latex: y = 2^xy = 2 x at the point (0, 1). explain which limit you are using to do so.