Precalc. AB Semester Final Part 1

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What is the end behavior of a polynomial function?

Back

The end behavior of a polynomial function describes how the function behaves as x approaches positive or negative infinity. It is determined by the leading term of the polynomial.

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How do you find the domain of a rational function?

Back

To find the domain of a rational function, identify values of x that make the denominator zero and exclude them from the domain. The domain is all real numbers except these values.

Front

What is the logarithmic identity for condensing logarithms?

Back

Front

How do you express exponential decay mathematically?

Back

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What does it mean for a function to be decreasing at a certain rate?

Back

A function is decreasing at a certain rate if its value decreases by a specific percentage over a given interval, often modeled by an exponential function.

Front

What is the relationship between logarithms and exponents?

Back

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What is the significance of the leading coefficient in polynomial functions?

Back

The leading coefficient determines the end behavior of the polynomial function. If it is positive, the function rises to the right; if negative, it falls to the right.