Consider the three functions: f (x) = (4) x g (x) = (4) - x h (x) = - (4) x Which statements are true about the domain and range of f (x), g (x), and h (x) ? Check all that apply. f (x) has a domain of all real numbers. g (x) has a range of y 0. g (x) has a domain of all real numbers. h (x) has a domain of x > 0.

1. Functions of the form f (x) = ax+b, where a is non zero, are called "linear functions" and the graphs of them are inclined lines.

2. If a>0, the line is increasing, so it gets higher as we move x to the right

If a<0, the line is decreasing.

3. There is no x we are not allowed to plug in the function: so Domain = all Real numbers

4. Since the lines are either increasing or decreasing, f (x), represented by the y values, take all values from - ∞ to + ∞. So Range = all Real numbers.

f (x) = 4x (increasing line, 4>0),

g (x) = - x+4, h (x) = - 4x (decreasing lines, - 1<0, - 4<0)

all f, g, h have Domain AND Range : All real numbers