The slope of an absolute function at the point where it evaluates to zero is undefined.
Here, when x=1, so |4x-4|=|4-4|=|0|, the slope is undefined. This is where the vertex of the "V" on the graph of the absolute value function.
Answer:
Please check the explanation.
Step-by-step explanation:
Finding Domain:
We know that the domain of a function is the set of input or argument values for which the function is real and defined.
From the given graph, it is clear that the starting x-value of the line is x=-2, the closed circle at the starting value of x= -2 means the x-value x=-2 is included.
And the line ends at the x-value x=1 with a closed circle, meaning the ending value of x=1 is also included.
Thus, the domain is:
D: {-2, -1, 0, 1} or D: −2 ≤ x ≤ 1
Finding Range:
We also know that the range of a function is the set of values of the dependent variable for which a function is defined
From the given graph, it is clear that the starting y-value of the line is y=0, the closed circle at the starting value of y = 0 means the y-value y=0 is included.
And the line ends at the y-value y=2 with a closed circle, meaning the ending value of y=2 is also included.
Thus, the range is:
R: {0, 1, 2} or R: 0 ≤ y ≤ 2
<h2>
Answer:</h2><h2>
The correct option is d. (i) and (ii)</h2>
Step-by-step explanation:
The total miles covered per day = 45
No of commuting days in a week = 5
Total miles in a week = 45 * 5 = 225
The total amount spent on gasoline = $ 38
Cost of gasoline per gallon = $ 2.48
The number of gallons consumed per week = 
= 15.32 gallons of gasoline per week.
This confirms (ii) statement
The amount spend on gasoline per mile = 
= $0.17
This confirms (i) statement
The number of miles per gallon of gasoline = 
= 14.68 miles
The statement (iii) is false.
