Instrument Nspire Calculator
Function plotted
x^2 - 4
Graphing Calculator
Smallest sampled value
-4
Largest sampled value
96
y-intercept
-4
Samples inside the domain
41
SVG path for the curve
M 0 0 L 16 39 L 32 76 L 48 111 L 64 144 L 80 175 L 96 204 L 112 231 L 128 256 L 144 279 L 160 300 L 176 319 L 192 336 L 208 351 L 224 364 L 240 375 L 256 384 L 272 391 L 288 396 L 304 399 L 320 400 L 336 399 L 352 396 L 368 391 L 384 384 L 400 375 L 416 364 L 432 351 L 448 336 L 464 319 L 480 300 L 496 279 L 512 256 L 528 231 L 544 204 L 560 175 L 576 144 L 592 111 L 608 76 L 624 39 L 640 0
Worked out from OpenStax College Algebra 2e, section 3.2 Domain and Range and 3 other sources.
How this is worked out
4 steps
- f(x) = x^2 - 4
- Sampled 41 points on [-10, 10] at x_i = -10 + 20 * i / 40.
- Sampled range: -4 to 96 over 41 of 41 points.
- Zeros in the interval: -2, 2 (exact grid zeros plus bisected sign changes).
Zeros in the intervaltable
-2, 2
Sampled pointstable
| x | y |
|---|---|
| -10 | 96 |
| -9.5 | 86.25 |
| -9 | 77 |
| -8.5 | 68.25 |
| -8 | 60 |
| -7.5 | 52.25 |
| -7 | 45 |
| -6.5 | 38.25 |
| -6 | 32 |
| -5.5 | 26.25 |
| -5 | 21 |
| -4.5 | 16.25 |
| -4 | 12 |
| -3.5 | 8.25 |
| -3 | 5 |
| -2.5 | 2.25 |
| -2 | 0 |
| -1.5 | -1.75 |
| -1 | -3 |
| -0.5 | -3.75 |
| 0 | -4 |
| 0.5 | -3.75 |
| 1 | -3 |
| 1.5 | -1.75 |
| 2 | 0 |
| 2.5 | 2.25 |
| 3 | 5 |
| 3.5 | 8.25 |
| 4 | 12 |
| 4.5 | 16.25 |
| 5 | 21 |
| 5.5 | 26.25 |
| 6 | 32 |
| 6.5 | 38.25 |
| 7 | 45 |
| 7.5 | 52.25 |
| 8 | 60 |
| 8.5 | 68.25 |
| 9 | 77 |
| 9.5 | 86.25 |
| 10 | 96 |
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