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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

Mid-Chapter Quiz

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Exercise 3 Page 132

Make a table of values and connect the points with a parabola.

Graph:

Domain: All real numbers
Range: y≤ -3/4

We want to graph the given quadratic function. y=-x^2-3x-3 To do so, we will first make a table of values.

x	-x^2-3x-3	y=-x^2-3x-3
-3	-( -3)^2-3( -3)-3	-3
-2	-( -2)^2-3( -2)-3	-1
-1	-( -1)^2-3( -1)-3	-1
0	-( 0)^2-3( 0)-3	-3
1	-( 1)^2-3( 1)-3	-7

Now, let's plot the obtained points and connect them with a parabola.

We can see above that the x-variable can take any value. Conversely, the y-variable only takes values less than or equal to - 34. Using this information, we can write the domain and range of the function.

Domain:& All real numbers Range:& y≤ -3/4