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

Front

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

Back

The end behavior of a function as x approaches negative infinity can indicate whether the function goes to positive infinity (∞) or negative infinity (-∞). In this case, it approaches ∞.

Front

Find the solution for the system of equations: (2,3) and (3,-15) or (-3,-15) and (4,-8) or (-3,15) and (8,4) or (-8,4) and (-4,10).

Back

The solution is (-3,-15) and (4,-8).

Front

What are the x-intercepts of the quadratic function y = x² - 9x + 14?

Back

The x-intercepts are the points where the graph crosses the x-axis, which are (7,0) and (2,0).

Front

Which equation represents the graph that opens downwards and has a vertex at (2,-4)?

Back

The correct equation is f(x) = -3(x - 2)² - 4.

Front

Calculate the product of (4 + 3i)(4 − 3i).

Back

The result is 25.

Front

What is the definition of an x-intercept?

Back

An x-intercept is a point where a graph crosses the x-axis, meaning the y-coordinate is zero.

Front

How do you find the x-intercepts of a quadratic function?

Back

To find the x-intercepts, set the function equal to zero and solve for x.

Front

What does it mean for a function to have a limit as x approaches a certain value?

Back

A limit describes the value that a function approaches as the input approaches a certain value.

Front

What is the vertex form of a quadratic function?

Back

The vertex form of a quadratic function is f(x) = a(x - h)² + k, where (h,k) is the vertex.

Front

What is the significance of the leading coefficient in a polynomial function?

Back

The leading coefficient determines the end behavior of the polynomial function.