McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
1. Graphing Quadratic Functions
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Exercise 22 Page 100

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

Graph:

Domain: { all real numbers }
Range: { y | y≥ 2 }

Practice makes perfect

We want to graph the given quadratic function. y=x^2+4x+6 To do so, we will first make a table of values.

x x^2+4x+6 y=x^2+4x+6
- 4 ( - 4)^2+4( - 4)+6 6
- 3 ( - 3)^2+4( - 3)+6 3
- 2 ( - 2)^2+4( - 2)+6 2
- 1 ( - 1)^2+4( - 1)+6 3
0 ( 0)^2+4( 0)+6 6

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 greater than or equal to 2. Using this information, we can write the domain and range of the function. Domain:& { all real numbers } Range:& { y | y≥ 2 }