YLCA Sem 1 Final Review

Front

What is the solution to the equation x^2 - 2x - 3 = 0?

Back

x = -1, x = 3

Front

Solve for x: (x + 2)^2 = 5

Back

x = -2 + √5, x = -2 - √5

Front

What is the domain of the function f(x) if it is defined for x < 3?

Back

Domain: (-∞, 3]

Front

What is the solution to the equation x^2 = 6?

Back

x = ±√6

Front

Solve for x: 2x + 3 = 9

Back

x = 3

Front

What is the range of the function f(x) = x^2?

Back

Range: [0, ∞) because x^2 is always non-negative.

Front

What is the solution to the equation 3x - 9 = 0?

Back

x = 3

Front

Solve for x: 5x - 2 = 3x + 6

Back

x = 4

Front

What is the solution to the equation x^2 + 4x + 4 = 0?

Back

x = -2 (double root).

Front

What is the vertex of the parabola given by the equation y = x^2 - 4x + 3?

Back

Vertex: (2, -1) found using vertex formula.