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1. Linear function: "f(x) = 2x + 3"
- Each input x gives a unique output f(x).
2. Quadratic function: "f(x) = x^2"
- Every x corresponds to exactly one f(x).
3. Exponential function: "f(x) = 2^x"
- For each x, there's a unique f(x).
4. Square root function: "f(x) = sqrt(x)"
- Each non-negative x has one non-negative f(x).
5. Absolute value function: "f(x) = |x|"
- Whether x is positive or negative, f(x) is non-negative.
6. Step function: "f(x) = floor(x)"
- Every real number x has a unique integer f(x).
7. Logarithmic function: "f(x) = log(x)"
- For each positive x, there's a unique f(x).
8. Trigonometric function: "f(x) = sin(x)"
- Different x values result in different f(x).
9. Piecewise function: "f(x) = {
- 2x if x >= 0,
- (-x) if x < 0"
- Each x fits exactly one condition, giving a unique f(x).
10. Constant function: "f(x) = 5"
- f(x) is always 5, regardless of x.