Minimum point of an absolute value function is when f(x) = 0
0 = <span>|2x - 1|
2x</span> - 1 = 0
2x = 1
x = 1/2
Minimum point is (1/2, 0)
Answer:

Step-by-step explanation:
Given
Initially, he drank 3 pints of water
Then,
more cups
Required
How many cups did Ian drink altogether
This question can be solved by adding the size of water he drank during the hike and when he got home
i.e.

But the answer should be in cups;
So, number of pints has to be converted to number cups
Given that 1 pint = 2 cups;
3 pints will be 3 * 2 cups
3 pints = 6 cups;
So,



Altogether, he drank
of water
Answer:
Average rate of change=-3
Step-by-step explanation:
The average rate of change is given by the relation between the values of f(x) and x, in two different points as follows:

In this case, 
Therefore,

There is only one x-intercept for f(x) and g(x), f(x) having a minimum value of zero and g(x) having a maximum value of zero. f(x)=0 when x=0, g(x)=0 when x=4.
g(x) is f(x) reflected about the about the x-axis and shifted to the right by 4 units.