Hello

A dog owner wishes to enclose a rectangular area in his backyard for the dog. The owner wishes to use existing fencing along two adjacent sides of the rectangle and has 14 metres of new fencing available for the other two sides. Suppose that we let the dimensions of the rectangle be x metres and y metres and the area be Am^2 as shown below.

c) With a on the vertical axis and x on the horizontal axis make a sketch of A= x(14-x)

For this question I have found the turning point which is x=7, the nature and location of the turning point -maximum turning point which occurs at the coordinates of (7,49), the y-axis intercepts which is A=0 with coordinates of(0,0) and the x-intercepts to sketch this equation and checked it on the graphic calculator...

My question is when writing down the x-intercepts do I write x=0 or x=14 or x=0 and x=14

Thank you

2. Originally Posted by atom360
Hello

A dog owner wishes to enclose a rectangular area in his backyard for the dog. The owner wishes to use existing fencing along two adjacent sides of the rectangle and has 14 metres of new fencing available for the other two sides. Suppose that we let the dimensions of the rectangle be x metres and y metres and the area be Am^2 as shown below.

c) With a on the vertical axis and x on the horizontal axis make a sketch of A= x(14-x)

For this question I have found the turning point which is x=7, the nature and location of the turning point -maximum turning point which occurs at the coordinates of (7,49), the y-axis intercepts which is A=0 with coordinates of(0,0) and the x-intercepts to sketch this equation and checked it on the graphic calculator...

My question is when writing down the x-intercepts do I write x=0 or x=14 or x=0 and x=14

Thank you
Use the word or.

Also, is it possible for $\displaystyle x$ to equal zero in the context of this question?