If fx x3 then the function fx is circle your answer If fx

If f(x) = |x^3|, then the function f(x) is (circle your answer) If f(x) = 2^x then the graph of g(x) = f(x + 3) can be obtained by applying a vertical stretch by a factor of to the graph of y = f(x). Find two exact values of 0 lessthanorequalto theta

Solution

1) a) f(-x) = f(x) ======> Even function

b) None =====> Horizontal shift of 3 to the left

c) cos = cosA = cos13pi/5 = -0.309

= arccos(-0.309) = 1.885, -4.398

d) Amplitude of f(x) = 4 = 4*sinx (say)

g(x) = 3*f(5x) = 12*sin5x

So amplitude of g(x) = 12