Is the following function linear, exponential or quadratic?
1) \( \begin{array}{|c|c|c|c|c|c|c|} \hline x & \text{-}4 & \text{-}3 & \text{-}2 & \text{-}1 & 0\\ \hline m(x) & 9 & 4 & 1 & 0 & 1\\ \hline \end{array} \)
2) \( \begin{array}{|c|c|c|c|c|c|c|} \hline x & \text{-}4 & \text{-}3 & \text{-}2 & \text{-}1 & 0\\ \hline n(x) & 32 & 16 & 8 & 4 & 2\\ \hline \end{array} \)
3) \( \begin{array}{|c|c|c|c|c|c|c|} \hline x & \text{-}7 & \text{-}6 & \text{-}5 & \text{-}4 & \text{-}3\\ \hline p(x) & \text{-}10 & \text{-}9 & \text{-}8 & \text{-}7 & \text{-}6\\ \hline \end{array} \)
4) \( \begin{array}{|c|c|c|c|c|c|c|} \hline x & \text{-}3 & \text{-}2 & \text{-}1 & 0 & 1\\ \hline r(x) & \text{-}10 & \text{-}7 & \text{-}6 & \text{-}7 & \text{-}10\\ \hline \end{array} \)
1) \( \begin{array}{|c|c|c|c|c|c|c|} \hline x & \text{-}4 & \text{-}3 & \text{-}2 & \text{-}1 & 0\\ \hline m(x) & 9 & 4 & 1 & 0 & 1\\ \hline \end{array} \)
2) \( \begin{array}{|c|c|c|c|c|c|c|} \hline x & \text{-}4 & \text{-}3 & \text{-}2 & \text{-}1 & 0\\ \hline n(x) & 32 & 16 & 8 & 4 & 2\\ \hline \end{array} \)
3) \( \begin{array}{|c|c|c|c|c|c|c|} \hline x & \text{-}7 & \text{-}6 & \text{-}5 & \text{-}4 & \text{-}3\\ \hline p(x) & \text{-}10 & \text{-}9 & \text{-}8 & \text{-}7 & \text{-}6\\ \hline \end{array} \)
4) \( \begin{array}{|c|c|c|c|c|c|c|} \hline x & \text{-}3 & \text{-}2 & \text{-}1 & 0 & 1\\ \hline r(x) & \text{-}10 & \text{-}7 & \text{-}6 & \text{-}7 & \text{-}10\\ \hline \end{array} \)
For problems #5-11 use the following functions to order the values from least to greatest.
\( f(x)=x+2\\ g(x)=1\cdot2^x\\ h(x)=x^2-2x+2 \)
5) \( \ f(\text{-}2), \ g(\text{-}2), h(\text{-}2) \)
6) \( \ f(\text{-}1), \ g(\text{-}1), h(\text{-}1) \)
7) \( \ f(0), \ g(0), h(0) \)
8) \( \ f(1), \ g(1), h(1)\)
9) \( \ f(2), \ g(2), h(2) \)
10) \( \ f(3), \ g(3), h(3) \)
11) \( \ f(4), \ g(4), h(4) \)
Use the app below to check your answers.
\( f(x)=x+2\\ g(x)=1\cdot2^x\\ h(x)=x^2-2x+2 \)
5) \( \ f(\text{-}2), \ g(\text{-}2), h(\text{-}2) \)
6) \( \ f(\text{-}1), \ g(\text{-}1), h(\text{-}1) \)
7) \( \ f(0), \ g(0), h(0) \)
8) \( \ f(1), \ g(1), h(1)\)
9) \( \ f(2), \ g(2), h(2) \)
10) \( \ f(3), \ g(3), h(3) \)
11) \( \ f(4), \ g(4), h(4) \)
Use the app below to check your answers.
For problems #12-18 given the functions \(k(x)\), \(h(x)\), and \(n(x)\) below (Assume they are either linear, exponential or quadratic) answer the following questions.
12) Which function has the smallest value for the \(y\)-intercept?
13) Which function has the greatest value for the \(y\)-intercept?
14) Which function(s) cross the \(x\)-axis twice?
15) Which functions(s) touch the \(x\)-axis once?
16) Which functions(s) don't touch or cross the \(x\)-axis?
17) Order these values from least to greatest: \( k(2), m(2), n(2) \).
18) As \( x \rightarrow - \infty \) describe the end behavior of each function.
13) Which function has the greatest value for the \(y\)-intercept?
14) Which function(s) cross the \(x\)-axis twice?
15) Which functions(s) touch the \(x\)-axis once?
16) Which functions(s) don't touch or cross the \(x\)-axis?
17) Order these values from least to greatest: \( k(2), m(2), n(2) \).
18) As \( x \rightarrow - \infty \) describe the end behavior of each function.