Questions: Recall that we can describe some or all of the input-output pairs of a function by means of an equation, a graph, a table, or words. Let g(x)=-3x+4. a. Describe five input-output pairs of g by using a table. b. Describe the input-output pairs of g by using a graph. c. Describe the input-output pairs of g by using words. a. Complete the table of input-output pairs of g below. x g(x) -1 0 1 2 3 b. Use the graphing tool to graph the function.

Recall that we can describe some or all of the input-output pairs of a function by means of an equation, a graph, a table, or words. Let g(x)=-3x+4. a. Describe five input-output pairs of g by using a table. b. Describe the input-output pairs of g by using a graph. c. Describe the input-output pairs of g by using words. a. Complete the table of input-output pairs of g below. x g(x) -1 0 1 2 3 b. Use the graphing tool to graph the function.
Transcript text: Recall that we can describe some or all of the input-output pairs of a function by means of an equation, a graph, a table, or words. Let $\mathrm{g}(\mathrm{x})=-3 \mathrm{x}+4$. a. Describe five input-output pairs of $g$ by using a table. b. Describe the input-output pairs of $g$ by using a graph. c. Describe the input-output pairs of $g$ by using words. a. Complete the table of input-output pairs of g below. \begin{tabular}{|rc|} \hline $\mathbf{x}$ & $\mathbf{g}(\mathbf{x})$ \\ -1 & $\square$ \\ 0 & $\square$ \\ 1 & $\square$ \\ 2 & $\square$ \\ 3 & $\square$ \\ \hline \end{tabular} b. Use the graphing tool to graph the function.
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Solution

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Solution Steps

Step 1: Calculate the output for x = -1

For \( x = -1 \): \[ g(-1) = -3(-1) + 4 = 3 + 4 = 7 \]

Step 2: Calculate the output for x = 0

For \( x = 0 \): \[ g(0) = -3(0) + 4 = 0 + 4 = 4 \]

Step 3: Calculate the output for x = 1

For \( x = 1 \): \[ g(1) = -3(1) + 4 = -3 + 4 = 1 \]

Step 4: Calculate the output for x = 2

For \( x = 2 \): \[ g(2) = -3(2) + 4 = -6 + 4 = -2 \]

Step 5: Calculate the output for x = 3

For \( x = 3 \): \[ g(3) = -3(3) + 4 = -9 + 4 = -5 \]

Final Answer

\[ \begin{array}{|rc|} \hline \mathbf{x} & \mathbf{g}(\mathbf{x}) \\ -1 & 7 \\ 0 & 4 \\ 1 & 1 \\ 2 & -2 \\ 3 & -5 \\ \hline \end{array} \]

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