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QUESTION IMAGE

complete the table and then graph the function. f(x) = 3x + 1 x f(x) 0 …

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.

Explanation:

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).

Answer:

The completed table values are already correct:

$x$$f(x)$
14
27

To graph the function, plot the points $(0, 1)$, $(1, 4)$, and $(2, 7)$, then draw a straight line passing through all three points.