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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 4 Page 132

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

Graph:

Domain: All real numbers
Range: y≤ 13/12

We want to graph the given quadratic function. y=-3x^2-x+1 To do so, we will first make a table of values.

x	-3x^2-x+1	y=-3x^2-x+1
-2	-3 ( -2)^2-( -2)+1	- 9
-1	-3( - 1)^2-( - 1)+1	-1
0	-3( 0)^2-( 0)+1	1
1	-3( 1)^2-( 1)+1	-3
2	-3( 2)^2-( 2)+1	- 13

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 1312. Using this information, we can write the domain and range of the function. Domain:& All real numbers Range:& y≤ 1312