Consider the linear function with equation y = 3x + 5.
Sketch the graph of the linear function on the grid.
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Here is a picture of the graph, and this is how I did it.
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Then it says.. Restrict the domain to the set of natural numbers. Mark the dots points on the graph which represent the function on the restricted domain.
I don't get how to do this.
To restrict the domain to the set of natural numbers, you need to consider only the x-values that are natural numbers (positive whole numbers).
For the linear function with equation y = 3x + 5, we can start by finding a few points on the graph using natural number x-values.
Let's choose some natural numbers for x and substitute them into the equation to find the corresponding y-values:
When x = 0: y = 3(0) + 5 = 5
When x = 1: y = 3(1) + 5 = 8
When x = 2: y = 3(2) + 5 = 11
When x = 3: y = 3(3) + 5 = 14
Now, on the graph you have provided, mark the points (0, 5), (1, 8), (2, 11), and (3, 14). These are the points that represent the function on the restricted domain of natural numbers. You can mark these points as dots on the graph.
Remember, each x-value represents a natural number, and the corresponding y-value is calculated by substituting that x-value into the equation y = 3x + 5.