Question 1

Graph a piecewise function with 3 equations and sketch a graph

Question 2

Solution:

Given:

$h(x)=\begin{cases}2x,x\le-2 \\ x^2-1,-2A piecewise function is a function that is defined by different formulas or functions for each given interval. It is a function in which more than one formula is used to define the output over different pieces of the domain.The function h(x) given has three outputs for three different domains.[tex]\begin{gathered} \text{The first is a linear function;} \\ h(x)=2x \\ \\ \text{The second is a quadratic function;} \\ h(x)=x^2-1 \\ \\ \text{The third is a linear function;} \\ h(x)=x-3 \end{gathered}$

Therefore, the graph using a graph plotter (desmos) is as shown below;

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