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Answer:
Point slope form:
The equation of line is given by: .....[1]
where m is the slope and a line contains a point .
As per the given statement:
Slope(m) = 3
. = (2, 1)
Substitute these in [1] we have;
therefore, the point slope form of a line with slope 3 that contains the point (2, 1) is;
A piece-wise function combines more than one functions of different input values.
<em>The value of f(-1) is -3</em>
From the graph, we have the following observations
- <em>When x = -1, y = -3</em>
- <em>When x = -1, y = -4</em>
Notice that there is a closed circle at the point where x = -1 and y = -3.
This means that y = -3 is inclusive of the values of y on that particular function
However, there is an open circle at the point where x = -1 and y = -3.
This means that y = -4 is exclusive of the values of y on that particular function
The correct corresponding value of y is when y is inclusive.
Hence, the value of f(-1) is -3
See attachment for the graph of the piece-wise functions
Read more about piece-wise functions at:
