Given the following absolute value function sketch the graph of the function and find the domain and range.
1 answer:
Step-by-step explanation:
The given absolute value expression is
This absolute value function is of the form
where (h,k)=(-3,-1) is the vertex.
This function opens upwards, hence the the minimum point is (-3,-1)
The domain is the values of x for which the function is defined.
The domain is all real numbers.
The range is the values of y for which x is defined.
The is y≥-1 because the minimum value is -1.
The graph is shown in attachment.
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Answer:
25.6 units
Step-by-step explanation:
From the figure we can infer that our triangle has vertices A = (-5, 4), B = (1, 4), and C = (3, -4).
First thing we are doing is find the lengths of AB, BC, and AC using the distance formula:
where
are the coordinates of the first point
are the coordinates of the second point
- For AB:
- For BC:
- For AC:
Next, now that we have our lengths, we can add them to find the perimeter of our triangle:
We can conclude that the perimeter of the triangle shown in the figure is 25.6 units.