x-intercept = 0
y-intercept = 0
domain = (-∞, 6)
Range = (8, +∞)
Here, we want to graph the given piecewise equation
From the question, we have two equations
There is a quadratic equation and a linear equation
For values of x less than 2, we make use of the quadratic equation
For vaules between 2 and 6, we make use of values between 2 and 6
Now, when we talk of the x-intercept, we simply mean the positions on the graph on which y = 0
From the range we have, the value of x at which y is 0 is the point where x = 0 which corresponds to the origin
For the y-intercept, we can only have the value of f(x) as 0 when x is 10
For the quadratic equation, the y-intercept is at x = 0, so 0 is the y-intercept
The domain refers to the values on the x-axis
The domain in this case is (-∞, 6)
The range refers to the value on the y-axis
In this case, that will be (8, ∞)
8 is obtained by substituting the value of x = 2 into the equation