Assignment:
Q1. Given the quadratic equation y=-x^2+2x+8, find:
a) the vertex
b) the axis of symmetry
c) the intercepts
d) the domain
e) the range
f) the interval where the function is increasing and
g) the interval where the function is decreasing
h) graph the function
y=-x^2+2x+8
Q2. The following polynomial represents a profit function for a certain production line, where x is a number of produced units, find
a) the zeros and multiplicity of each
b) where the graph crosses or touches the x-axis
c) number of turning points
d) explain the meaning of the above if any,
f(x)=(x-4)^2(x^2-25)
Provide complete and step by step solution for the question and show calculations and use formulas.