Question

How do you graph the function `y=x-1`?

Answer 1

y=a*x+b

Explanation:

It is a linear function.

Following the normal form of a linear function:

`f(x)=ax+b`

`y=ax+b`

you have:

`a = 1` gradient
`b = -1` constant `x=0`

Drawing:

Start with a point at `f(0) = b`

draw a straight line going one division to the right and a divisions up or down. (one up in your case)

graph{y=1*x-1 [-10, 10, -5, 5]}

Answer 2

`"see explanation"`

Explanation:

`"one way is to find the intercepts, that is where the graph"`
`"crosses the x and y axes"`

`• " let x = 0, in the equation for y-intercept"`

`• " let y = 0, in the equation for x-intercept"`

`x=0rArry=-1larrcolor(red)"y-intercept"`

`y=0rArrx-1=0rArrx=1larrcolor(red)"x-intercept"`

`"plot the points "(0,-1)" and "(1,0)`

`"draw a straight line through them for graph"`
graph{(y-x+1)((x-0)^2+(y+1)^2-0.04)((x-1)^2+(y-0)^2-0.04)=0 [-10, 10, -5, 5]}