Question

Selected values of the derivative of the function g are given in the table above. It is known that g(3)=17. What is the approximation for g(3.2) found using the line tangent to the graph of g at x=3 ?

Answer 1

Answer: 16.76

Explanation: Since it says using the line tangent to the graph, you know to use point slope form, which is y-k=x(m-h). Since you are solving at x=3, y is 17 and the slope is -1.2. Plug this into your point slope form and you get y-17=-1.2(x-3). Then plug in 3.2 for your x and solve for y, should get 16.76.