Answer:
Explanation:
a.Changing f with -f does not change its domain, it just flips the image across the x axis. Adding 6 to the result, just shifts everything towards the positive y by 6 units. Domains stays the same, from -4 to +8. Range instead goes up, the lowest value is -2+6 = 4 and the highest value is 2+6 = 8.
So domain remains the same [-4; 8] and range goes to [4;8]
a. This time we're shifting everything on the horizontal axis, one unit to the left (the way to remember it is that f(x) has a minimum at x=4, while after the shift the new value happens at x=3) multiplying the value by 3 means that every value gets scaled up. It means the minimum becomes -2*3= -6 and the maximum happens at 2*3= 6. The shift brings the domain to [-5;7] and the range to [-6,6]