differentiation and applications ( ** )

Please answer the questions on the attachment below. () ( Please keep solving and explanation seperate)

The graph of y = Nekx The diagram at right shows the graph of y = e* and uses the letters A, B and C to indicate key parts of the graph. In this investigation you will use your graphics calculator to observe and report on the effect of changing NV and & in the equation y = Nek. B 1 N=2. On the same axes, graph the equations y = 2* and y = e. In your book, sketch the view window. Write a sentence summarising the effect of changing / from 1 to 2. 2 N =-1. On the same axes, graph the equations y = -1 x e and y = er. In your book, sketch the view window. Write a sentence summarising the effect of changing N from 1 to -1. 3 k 1. On the same axes, graph the equations y = e" and y = elf. In your book, sketch the view window. Write a sentence summarising the effect of changing k from 1 to 2. Challenge (-2, 4) Use your calculator to obtain a guess-and-check solution to 2+ (0, 2) the following problem. Find the values of k and / such that the graph of y = Ne" passes through (-2, 4) and (0, 2), the points shown. Write down your guesses and the adjustments you made to find the equation of the challenge question. Complete the challenge algebraically as well. You can use https://www.desmos.com/calculator or CAS calculator for your graphs