Consider the following function. f(x) = x2 + 3x − 1, (1, 3)

Question

(a)

Find an equation of the tangent line to the graph of f at the given point.

(b)

Use a graphing utility to graph the function and its tangent line at the point.

Answer 1

f'(x) = 2x + 3

At (1, 3) the slope is 5

Use point-slope form

y - 3 = 5(x - 1)