Quadratic equations, polynomials, and functions
Solve for x: x² - 5x + 6 = 0
Factor: (x - 2)(x - 3) = 0, so x = 2 or x = 3
If f(x) = 2x + 3 and g(x) = x², what is f(g(2))?
g(2) = 2² = 4, then f(4) = 2(4) + 3 = 8 + 3 = 11
Simplify: (x³)²
When raising a power to a power, multiply exponents: (x³)² = x³ˣ² = x⁶
What are the zeros of the function f(x) = x² - 9?
x² - 9 = 0 factors as (x - 3)(x + 3) = 0, so x = 3 or x = -3
Which represents exponential growth?
Exponential growth has the variable in the exponent with base > 1