Domain is all possible values for x . Think about what restrictions there would be: no zeros in denominators, no negatives under a square root.

Range is all possible values for y. After you graph the problem, you can usually see where the y values are.

Let’s look at each one now.

#1) y = -3/4 x + 4 I’m not sure if this is (3/4)x or 3/(4x), but I’m going to assume the first. So, this is a straight line. Straight lines go on forever. Therefore, both domain and range are all real numbers. In interval notation, you’d have to write the infinity sign (I’ll use @ for the sake of typing) and it would look like this (-@, +@)

#2) y < 4 The domain is all real numbers, but the range is restricted to be <4. D:(-@,+@) and R: (-@, 4) #3) Similar to #2, but domain is restricted: D: (-2,+@) and R:(-@,+@) #4) y = abs.val.x x can be any real number, but y can only be positive or =0. D:(-@,+@) R: [0, +@) Note: [losed and ()pen #5) this is a parabola, when you graph it, the vertex will be at the point (h,k) Domain is all reals, but the range is greater than or = to k. hope this helps!

range(R) means what y values the graph can take

1. D: x is all real numbers, R: y is all real numbers

2.D x is all real numbers,R y is anything less than or equal to 4

3. Dx is anything greater than -2 R y is all reals

4. d: x is all reals R: y is anything greater than or equal to 0

5. D: x is all reals R: y is anything greater than or equal to -8 since the turning point of the parabola is at (-3,-8)