A 2 Fall Final 24-25 Review #2

Front

What is an even function?

Back

A function f(x) is called an even function if f(-x) = f(x) for all x in the domain of f. The graph of an even function is symmetric about the y-axis.

Front

What is an odd function?

Back

A function f(x) is called an odd function if f(-x) = -f(x) for all x in the domain of f. The graph of an odd function is symmetric about the origin.

Front

What is the imaginary unit i?

Back

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Back

Front

What is end behavior in functions?

Back

End behavior describes the behavior of a function as the input values approach positive or negative infinity. It helps in understanding the limits of the function.

Front

What is the end behavior of the function f(x) = 3x^2 + 1 as x approaches infinity?

Back

Front

How do you evaluate a function at a given point?

Back

To evaluate a function f(x) at a point t, substitute t into the function. For example, for f(x) = 3x^2 + 1, to find f(t + 2), substitute (t + 2) into the function.

Front

What is synthetic division?

Back

Synthetic division is a simplified form of polynomial long division used to divide a polynomial by a linear factor of the form (x - c).

Front

Perform synthetic division on (2x^3 + 7x^2 - 6x - 8) ÷ (x + 4).

Back

The result of the synthetic division is 2x^2 - x - 2.

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is f(x) = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.