Chapter Test
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To graph the given piecewise function, we should think about the graph of each individual piece of the function. Then, we can combine the graphs on one coordinate plane.
First, we will graph y=2x+4 for the domain x≤-1. This function has a slope of 2 and a y-intercept of 4. Since the endpoint is included, this piece should end with a closed circle.
Looking at the graph, we can see that all of the possible y-values are less than or equal to 2.
Next, we will graph y=31x−1 for the domain x>-1. Since the endpoint is not included, we will end the piece with an open circle.
x=-1
ca⋅b=ca⋅b
a(-b)=-a⋅b
Put minus sign in front of fraction
Rewrite 1 as 33
Subtract fractions
Finally, we can combine the pieces onto one coordinate plane.