An equation and its graph are given. Find the x- and y-intercepts. (If an answer does not exist, enter DNE.) y = x − x2

Question

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

y = x − x²

x-intercepts	(x, y) =					(smaller x-value)	(x, y) =
(larger x-value)
y-intercept
(x, y) =

Answer 1

To find the x intercept of your equation, set y =zero in your equation

 

y=x-x^2=x(1-x)

 

0=x(1-x)

 

x=0 and x=1

 

x intercepts

(0,0) and (1,0)

 

To find the y intercept set x= zero in your equation:

 

y=x-x^2=x(1-x)

 

y=(0)-(0)^2

 

y = 0

 

y intercept

(0,0)

 

 

Answer 2

You are asked to find the x- and y-intercepts of the equation y = x - x².

To find the x-intercept, you set the y variable equal to 0 and solve for x.

When y = 0, the equation becomes:

0 = x - x²

0 = x(1 - x) factor the right side of the equation

x = 0 and 1 - x = 0

+ x + x

x = 1

So, for this equation, your x-intercepts occur at x = 0 and x = 1, and are (0,0) and (1,0).

Similarly, to find the y-intercept , you set the x variable equal to 0 and solve for y.

When x = 0, the equation becomes:

y = 0 - 0²

y = 0

So, for this equation, the y-intercept occurs at y = 0, and is (0,0).