Flashcard on the standard AII.1 - AII.12 - 1O,4O - Dec 12 2024

Front

What is the end behavior of a function as x approaches -∞ if f(x) approaches ?

Back

The end behavior as x → -∞ f(x) → ∞.

Front

Find ALL solutions to the system of non-linear equations: y = -2x - 5 and y = x^2 + 2x + 5.

Back

No Solutions.

Front

What transformations has the function undergone if it reflects over x, has a vertical stretch by 2, moves right 5, and moves up 1?

Back

The function has undergone a reflection over x, a vertical stretch by 2, a right shift by 5, and an upward shift by 1.

Front

Find the root(s) of the function if the options are x = 3, x = (-1,2,4), x = (2, -2, -4), x = -1.

Back

The roots are x = (-1,2,4).

Front

Calculate (multiply): (4 + 3i)(4 − 3i)

Back

The result is 25.

Front

What is the definition of a root of a function?

Back

A root of a function is a value of x for which f(x) = 0.

Front

What does it mean for a function to reflect over the x-axis?

Back

Reflecting over the x-axis means that for every point (x, y) on the graph, the point (x, -y) is also on the graph.

Front

What is a vertical stretch in a function?

Back

A vertical stretch occurs when the output values of a function are multiplied by a factor greater than 1, making the graph taller.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex is the highest or lowest point of the parabola, representing the maximum or minimum value of the function.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is y = ax^2 + bx + c.