Use input-output tables to determine which graph accurately represents the function f(x)=12x+3 with inputs of −4 , −2 , 0, 2, and 4.(1 point)Responses
To find the outputs of the function f(x)=12x+3 for the given inputs, we can create an input-output table and plug in the values:
Inputs: -4, -2, 0, 2, 4
Outputs: f(-4), f(-2), f(0), f(2), f(4)
To calculate the outputs, we plug in each input value into the function:
f(-4) = 12(-4)+3 = -48+3 = -45
f(-2) = 12(-2)+3 = -24+3 = -21
f(0) = 12(0)+3 = 0+3 = 3
f(2) = 12(2)+3 = 24+3 = 27
f(4) = 12(4)+3 = 48+3 = 51
Now, let's compare the outputs to each graph and see if any of them match the data:
Graph 1:
-4 -> -46
-2 -> -24
0 -> 4
2 -> 28
4 -> 52
Graph 2:
-4 -> -45
-2 -> -21
0 -> 3
2 -> 27
4 -> 51
Graph 3:
-4 -> -44
-2 -> -22
0 -> 2
2 -> 26
4 -> 50
Based on the table and the graphs, it is clear that Graph 2 accurately represents the function f(x)=12x+3 for the given inputs.