A few days ago
slope & domain and range question?
1.) Find the slope and y-intercept of the line Ax + By = C
2.) Use Algebra to fidn the domain and range of the function
f(x)= 2/ x- 2
**The /= fraction bar not division..thanks! correct answer = 10pts!
Top 1 Answers
A few days ago
Favorite Answer
1.
Ax + By = C
Subtract Ax from each side:
By = C – Ax
Divide by B:
y = -(A/B)x + (C/B).
The slope is -A/B, and the y-intercept is C/B.
2.
f(x) = 2 / (x – 2)
can be evaluated for any x except x = 2, which makes the denominator zero.
That gives domain (-infty, 2) U (2, infty).
The equation can be transformed into
x = [ 2 / f(x) } + 2
This is valid everywhere except where f(x) = 0.
That gives range (-infty, 0) U (0, infty).
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