State the slope and y-intercept y=7x+8
2 answers:
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The domain and the range of a function are the set of input and output values, the function can take.
- <em>The domain and the range of </em>
<em> is </em>
<em>.</em>
- <em>The parent function </em>
<em> is vertically compressed by 9, then shifted down by 5 units to get </em>
<em />
Given
<u>Domain and range</u>
There is no restriction as to the input and the output of function g(x).
This means that the domain and the range are
is in interval notation
The corresponding set notation is:
<u />
<u>The parent function</u>
We have:
First, the parent function is vertically compressed by a factor of 9.
The rule of this transformation is:
So, we have:
Next, the function is shifted down by 5 units.
So, we have:
Read more about functions at:
Answer:
The graph of the equation is also attached.
From the graph, it is clear that at x = 0, the value of y = 0
Hence, the line passes through the origin with the y-intercept 0.
Step-by-step explanation:
The slope-intercept form of the line equation
where
- m is the slope
- b is the y-intercept
Given that the profit y (in dollars) for a business from selling x coats is represented by the equation
comparing with the slope-intercept form of the line equation
m = 56
<u>Determining the y-intercept</u>
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
substitute x = 0 in the equation
y = 56(0)
y = 0
Thus, the y-intercept b = 1
Thus,
The equation y = 5x has:
- The slope m = 56
- The y-intercept b = 1
The graph of the equation is also attached.
From the graph, it is clear that at x = 0, the value of y = 0
Hence, the line passes through the origin with the y-intercept 0.
