Mid-Chapter Quiz
Sign In
Make a table of values and connect the points with a parabola.
Graph:
Domain: All real numbers
Range: y≥ -5/4
| x | x^2+3x+1 | y=x^2+3x+1 |
|---|---|---|
| -3 | ( -3)^2+3( -3)+1 | 1 |
| - 32 | ( - 32)^2+3( - 32)+1 | - 54 |
| 0 | ( 0)^2+3( 0)+1 | 1 |
| 32 | ( 32)^2+3( 32)+1 | 8 34 |
| 3 | ( 3)^2+3( 3)+1 | 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 - 54. Using this information, we can write the domain and range of the function. Domain:& All real numbers Range:& y≥ -5/4