f(x) = x
x | y |
---|---|
-2 | -2 |
-1 | -1 |
0 | 0 |
1 | 1 |
2 | 2 |
Domain: {x E R}
Range: {y E R}
f(x) = x²
x | y |
---|---|
-2 | 4 |
-1 | 1 |
0 | 0 |
1 | 1 |
2 | 4 |
Domain: {x E R}
Range: {y E R/0 ≤ y}
f(x) = √x
x | y |
---|---|
0 | 0 |
1 | 1 |
4 | 2 |
Domain: {x E R/0 ≤ x}
Range: {y E R/0 ≤ y}
f(x) = 1/x
x | y |
---|---|
-2 | -1/2 |
-1 | -1 |
-0.5 | -2 |
0.5 | 2 |
1 | 1 |
2 | 1/2 |
Domain: {x E R/x ≠ 0}
Range: {y E R/y ≠ 0}
Asymptote: x = 0, y = 0
f(x) = |x|
x | y |
---|---|
-2 | 2 |
-1 | 1 |
0 | 0 |
1 | 1 |
2 | 2 |
Domain: {x E R}
Range: {y E R/0 ≤ y}
f(x) = x³
x | y |
---|---|
-2 | -8 |
-1 | -1 |
0 | 0 |
1 | 1 |
2 | 8 |
Domain: {x E R}
Range: {y E R}
Transformed functions: @@f(x) = a(k(x-d)) + c@@
Mapping Notation: @@((1/k)x + d, ay + c)@@
Quadratic | g(x) = a(k(x-d))² + c |
---|---|
Reciprocal | g(x) = a(1/(k(x-d)) + c |
Cubic | g(x) = a(k(x-d))³ + c |
Square Root | g(x) = a(√k(x-d) ) + c |
Absolute Value | g(x) = a |k(x-d)| + c |