QUESTION IMAGE
Question
complete the table and then graph the function. f(x) = 3x + 1 x f(x) 0 1 1 4 2 7 click to select points on the graph.
Step1: Verify x=0 in function
Substitute $x=0$ into $f(x)=3x+1$:
$f(0)=3(0)+1=1$
Step2: Verify x=1 in function
Substitute $x=1$ into $f(x)=3x+1$:
$f(1)=3(1)+1=4$
Step3: Verify x=2 in function
Substitute $x=2$ into $f(x)=3x+1$:
$f(2)=3(2)+1=7$
Step4: Identify graph points
The coordinate pairs are $(0,1)$, $(1,4)$, $(2,7)$. Plot these points and draw a straight line through them (since it is a linear function).
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The completed table values are already correct:
| $x$ | $f(x)$ |
|---|---|
| 1 | 4 |
| 2 | 7 |
To graph the function, plot the points $(0, 1)$, $(1, 4)$, and $(2, 7)$, then draw a straight line passing through all three points.