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 4 Page 99

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

Graph:

Domain: { all real numbers }
Range: { y | y≥ - 8 }

Practice makes perfect

We want to graph the given quadratic function. y=3x^2-6x-5 To do so, we will first make a table of values.

x 3x^2-6x-5 y=3x^2-6x-5
- 2 3( - 2)^2-6( - 2)-5 19
- 1 3( - 1)^2-6( - 1)-5 4
0 3( 0)^2-6( 0)-5 - 5
1 3( 1)^2-6( 1)-5 - 8
2 3( 2)^2-6( 2)-5 - 5
3 3( 3)^2-6( 3)-5 4
4 3( 4)^2-6( 4)-5 19

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 - 8. Using this information, we can write the domain and range of the function. Domain:& { all real numbers } Range:& { y | y≥ - 8 }