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Algebra??? help please

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An equation and its graph are given. Find the x- and y-intercepts. (If an answer does not exist, enter DNE.)

y = 3x − x2
x-intercepts    
(xy) = (  )
(smaller x-value)
(xy) = (  )
(larger x-value)
y-intercept    
(xy) = (  )
    
Jan 27th, 2015

Without looking at the graph, you can plug in 0 for x to find the y-intercept. This gives you y = 3(0) - (0)^2, which simplifies to 0.

Without the graph, you can factor out a greatest common factor (GCF) to get y = x(3-x). Then you can set each factor equal to 0 and solve the equations. You get 0 = x and 0 = 3 - x. The first one automatically gives you x = 0 as one of the x-intercepts and the you can solve the second one by adding x to both sides to get x=3 as the second x-intercept.  

To write this in coordinate form, y = 0 at the x-intercept and x = 0 at the y-intercept. This means you will have x-intercepts at (0,0) and (3,0) and a y-intercept at (0,0).

Jan 27th, 2015

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Jan 27th, 2015
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Jan 27th, 2015
Sep 19th, 2017
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