3. Find the average rate of change for the function between the given values: f(x) = -4x + 8 from x = 0 to x = 2.
a) -4
b) 4
c) -8
d) 8
Ans: 4.
4. Find the function that is finally graphed after the following transformations are applied to the graph of y = √x:
The graph is shifted up 4 units, reflecting about the x-axis, and finally shifted right 6 units.
a) y = √(x - 6) - 4
b) y = -√(x + 6) - 4
c) y = √(x + 6) + 4
d) y = -√(x - 6) + 4
Ans: d.
5. Find the maximum or minimum point of the function and state whether it is a maximum or minimum:
f(x) = x^2 - 14x - 55
a) (6,0); minimum
b) (-7, -6); maximum
c) (0,7); minimum
d) (6,7); maximum
Ans: b.