Express as a single fraction a/b+b/b - b/a-a/a
1 answer:
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Answer:
Step-by-step explanation:
We have been given graph of a piece-wise function. We are asked to write the equation for the given piece-wise function.
We can see that for x values greater than or equal to 0 and less than 1, the function is a line.
We can see that our given line is a horizontal line, so it will be in form intersecting y-axis at
.
The given crosses y-axis at (0,2), therefore, its equation would be .
We can see that for x values greater than 1, the graph is a reflected and shifted square root function.
The square root function is reflected across x-axis and has a vertex at (1,1), therefore, our function for second part would be .
The function is not defined at and it can a jump continuity.
Therefore, our required piece-wise function would be:
<h2>Answer</h2>
The equation is y = 2x - 12
<h2>Explanation</h2>Equation in slope intercept form is
Where,
m = slope
b = y-intercept
Putting the value of slope in this equation:
From this we can solve the equation for b
Now, the equation of y-intercept becomes