Chapter Test
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Draw each part separately.
Graph:
Domain: All real numbers.
Range: All real numbers.
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.
Next, we will graph y= 13x-1 for the domain x>-1. Since the endpoint is not included, we will end the piece with an open circle.
x= - 1
a/c* b = a* b/c
a(- b)=- a * b
Put minus sign in front of fraction
Rewrite 1 as 3/3
Subtract fractions
Finally, we can combine the pieces onto one coordinate plane.
Looking at the pieces together, we can see that there are no gaps in the possible values of x. We can also see there are no gaps in the possible values of y. We can use these facts to write the domain and range of the function. Domain:& All real numbers Range:& All real numbers