Algebra 3 Final

Front

Evaluate log₃81

Back

4

Front

Solve for x: x² + 44 = -15x

Back

{-11, -4}

Front

Find the solutions for b: b² - 2b - 8 = 0

Back

{-2, 4}

Front

Describe the end behavior of the graph: y = x²

Back

x → ∞, y → ∞ and x → -∞, y → ∞

Front

Is the vertex of the parabola y = -x² + 4 a max or min?

Back

max

Front

What is the definition of a logarithm?

Back

A logarithm is the exponent to which a base must be raised to produce a given number.

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / 2a

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as x increases, f(x) also increases.

Front

What is the vertex form of a quadratic function?

Back

y = a(x - h)² + k, where (h, k) is the vertex.

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is b² - 4ac and determines the nature of the roots.