Questionic 2.2) Einear and Exponential Functions
Name:
exponential, or neither. Give a reason given in the table below. For each table, determine if the function
2.
\begin{tabular}{|c|c|}
\hline & \\
\hline 1 & -1 \\
\hline 2 & 0 \\
\hline 3 & 2 \\
\hline 4 & 5 \\
\hline 5 & 9 \\
\hline
\end{tabular}
3.
4.
\begin{tabular}{|c|c|}
\hline & \\
\hline 1 & -9 \\
\hline 6 & -2 \\
\hline 11 & 5 \\
\hline 16 & 12 \\
\hline 21 & 19 \\
\hline
\end{tabular}
Studdy Solution
STEP 1
1. A function is linear if it has a constant rate of change (difference between consecutive -values is constant).
2. A function is exponential if the ratio between consecutive -values is constant.
3. If neither condition is met, the function is neither linear nor exponential.
STEP 2
1. Analyze the function for linearity or exponentiality.
2. Analyze the function for linearity or exponentiality.
STEP 3
Calculate the differences between consecutive values:
The differences are not constant, so is not linear.
STEP 4
Calculate the ratios between consecutive values:
The ratios are not constant, so is not exponential.
Conclusion for : Neither linear nor exponential.
STEP 5
Calculate the differences between consecutive values:
The differences are constant, so is linear.
Conclusion for : Linear.
The function is neither linear nor exponential, and the function is linear.
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