Graph each function given below on a graphing calculator to find a general rule for determining when a graph crosses the x axis at an x intercept or when the graph just touches and turns away from the x axis. State the rule that you find.
y = (x + 1)^2(x - 2)
y = (x - 4)^3(x - 1)^2
1.Describe the changes to the graph of y = log4x when x is replaced by 16x2
2.Describe the steps you would say over the phone to explain how to solve the equation log3x +log3(x+2)=1
thanks in advance
1. Explain why the functions y= cos x and y = sin(x+90) are the same function. Explanation must be detailed include graphs if you wish.
2. Outline why the identities are referred to as Pythagorean identities:
sin²θ + cos²θ = 1
1 + tan²θ = sec²θ
1 + cot²θ = csc ²θ