Find the rate of change of y=2x+4
1 answer:
Answer:
<h3>2</h3>Step-by-step explanation:
Since this is a linear function, the rate of change is the same as the slope of the function.
Rate of change is a ratio that compares the difference of two outputs and the difference of two inputs of a function. It is the , the Δy/Δx (the symbol "Δ" is delta, and means change or difference).
In the case of this function, the slope and rate of change are the same because it is linear, but they are not the same in quadratic or exponential functions because the rate of change is not constant.
The general equation for a linear function is y=mx+b, where "m" is the slope and "b" is the y-intercept, or initial value. In the equation y=2x+4, the "m" value is 2, so the rate of change is 2.
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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:
