Graphing+Linear+Functions-Target+E-Compare+It-Practice+Problems

Graph the following functions and describe how are they similar/different to the linear parent function (reference function). math \text{Linear Parent Function:} \ f(x)=x \\ math math \textbf{1)} \ g(x)=\text{-}x \\ math

math \textbf{2)} \ h(x)=2x+4 \\ math

math \textbf{3)} \ k(x)=\dfrac{1}{3}x \\ math

math \textbf{4)} \ l(x)=x-7 \\ math

math \textbf{5)} \ m(x)=\text{-}\dfrac{2}{3}x-1 \\ math

math \textbf{6)} \ n(x)=3x-\dfrac{1}{2}\\ math

math \textbf{7)} \ p(x)=\text{-}\dfrac{4}{3}x+3 \\ math

Write a function that fits the description below.
 * 8)** The function has a slope of two and is translated down by 3 units.


 * 9)** p(x) has a y-intercept of 5 and has a slope of -4.


 * 10)** The function has been translated up by 12 units and has a decreasing slope of one-half.


 * 11)** The function is increasing faster than the reference function and has a y-intercept at the origin.

Given the following table, graph the function and describe how it compares to the linear parent function. math \textbf{12)} \begin{array}{|c||c|} \hline \mathrm{x} & \mathrm{g(x)} \\ \hline \text{-}1 & 1 \\ \hline 0 & 3 \\ \hline 1 & 5 \\ \hline 2 & 7 \\ \hline 3 & 9 \\ \hline \end{array} math

math \textbf{13)} \begin{array}{|c||c|} \hline \mathrm{x} & \mathrm{k(x)} \\ \hline \text{-}1 & \text{-}\dfrac{3}{2} \\ \hline 0 & \text{-}2 \\ \hline 1 & \text{-}\dfrac{5}{2} \\ \hline 2 & \text{-}3 \\ \hline 3 & \text{-}\dfrac{7}{2} \\ \hline \end{array} math

Given the following graph describe how it relates to the linear parent function.
 * 14)**
 * 15)**


 * 16)** For the following two functions, g(x) and h(x), which function increases more quickly?

math g(x) math

or

math h(x) = 2x - 1 math