# IM1.5.9 Explore Transformations 2: Domain

Author:
00JonLind

In the last task, we (hopefully) discovered that adding a constant to the range of a function translates the function vertically. 1. Make a conjecture: What will happen if we add a constant to the domain (input) of a function? 2. Below, fill in the columns for the range of the functions with the given domain. Use the following rules for your functions: When you've found all of the range values for f, g, and h, graph the points on the coordinate plane by selecting both columns (x and f(x)) and creating a list of points

﻿1. Think about the inputs you used when finding your points. When x was 1, what did you actually plug into the functions? 2. What appears to be the effect of subtracting 3 from the input of a function? 3. Generalize: How does the graph of f(x) compare to the graph of f(x+k)? (use your vocabulary from geometry!)

## Multiplying the domain

Below, fill in the columns for the range of the two functions with the given domain. Use the following rules for your functions: When you've found all of the range values for f, a, and b, graph the points on the coordinate plane by selecting both columns (x andf(x), for example) and creating a list of points

﻿1. Think about the inputs you used when finding your points. When x was 1, what did you actually plug into the functions? 2. What appears to be the effect of multiplying the input of a function by 2? 3. Generalize: How does the graph of f(x) compare to the graph of f(kx)?