NEED THE ANSWER ASAP PLEASE
2 answers:
Answer:
y = 2x - 8
Step-by-step explanation:
General equation of a line,
Gradient (m) = 4-(-2) / 6-3
<em><u>m = </u></em><em><u>2</u></em>
y = mx + c
<em>C</em><em>o</em><em>n</em><em>s</em><em>i</em><em>d</em><em>e</em><em>r</em><em> </em><em>p</em><em>o</em><em>i</em><em>n</em><em>t</em><em> </em><em>(</em><em>3</em><em>,</em><em>-</em><em>2</em><em>)</em>
-2 = (2×3) + c
c = -2 - 6
<em><u>c = -</u></em><em><u>8</u></em>
hence <u><em>y</em><em> </em><em>=</em><em> </em></u><em><u>2</u></em><u><em>x</em><em> </em><em>-</em><em> </em></u><em><u>8</u></em>
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Answer:
Step-by-step explanation:
If you want to determine the domain and range of this analytically, you first need to factor the numerator and denominator to see if there is a common factor that can be reduced away. If there is, this affects the domain. The domain are the values in the denominator that the function covers as far as the x-values go. If we factor both the numerator and denominator, we get this:
Since there is a common factor in the numerator and the denominator, (x + 3), we can reduce those away. That type of discontinuity is called a removeable discontinuity and creates a hole in the graph at that value of x. The other factor, (x - 4), does not cancel out. This is called a vertical asymptote and affects the domain of the function. Since the denominator of a rational function (or any fraction, for that matter!) can't EVER equal 0, we see that the denominator of this function goes to 0 where x = 4. That means that the function has to split at that x-value. It comes in from the left, from negative infinity and goes down to negative infinity at x = 4. Then the graph picks up again to the right of x = 4 and comes from positive infinity and goes to positive infinity. The domain is:
(-∞, 4) U (4, ∞)
The range is (-∞, ∞)
If you're having trouble following the wording, refer to the graph of the function on your calculator and it should become apparent.