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Answer:
The Answer is:
<em>Domain of the function:</em> Dom= {x ∈ R: x ≠ }
<em>Horizontal asymptote:</em> y=2
<em>Vertical asymptote:</em> x=
<em>Cut with X-axis:</em> x=
Step-by-step explanation:
<em>1. Domain of the function: </em>To find the domain of the function you have to find where the dominator of the function is ZERO, so you have to make 2x+5=0
2x+5=0
2x=-5
x=-5/2 Thats the point of the graph that does NOT exist
The domain of the function is: all real numbers except (-5/2) <em>Dom= {x ∈ R: x ≠ }</em>
<em>2. Horizontal asymptote: </em> take the first numbers that are with the X's in this case:
4x− 6/ 2x+5 you have to take 4x and 2x so <em>y=4/2</em>
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<em>3. Vertical asymptote: </em> take the number of 1. and thats the vertical asymptote in this case is x=-5/2
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<em>4. Cut with X-axis: </em> replace the x by zero, f(0) = 4(0) − 6 / 2(0) + 5
f(0)=-6/5,<em> f(x)=-6/5</em>
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<em>this are the key features of the graph now you can replace numbers and draw your graph</em>
The slop of the line that is represented by the equation -5x + 2y = 10 is 