Expand using the properties of logarithms: $$\frac{x^3}{y^4z}$$

$$3\text{log}(x) - 4\text{log}(y) - \text{log}(z)$$ .

What is the power property of logarithms?

The power property states that $$\text{log}(a^b) = b \text{log}(a)$$ .

What is the nth term of the sequence defined by the expression $$4(2)^{(n-2)}$$ ?

The nth term is given by the formula $$4(2)^{(n-2)}$$ .

What is the definition of a zero of a function?

A zero of a function is a value of x for which the function evaluates to zero, i.e., $$f(x) = 0$$ .

What does it mean for a function to be increasing?

A function is increasing on an interval if, for any two points in that interval, the function value at the second point is greater than the function value at the first point.

What does it mean for a function to be decreasing?

A function is decreasing on an interval if, for any two points in that interval, the function value at the second point is less than the function value at the first point.

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

The leading coefficient determines the end behavior of the polynomial function and influences the direction in which the graph rises or falls.

What is the relationship between the degree of a polynomial and the number of zeros it can have?

A polynomial of degree n can have at most n real zeros.

AP PC Semester 1 Quick Review Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the definition of a function having a minimum?

Back

A function has a minimum at a point if the value of the function at that point is less than or equal to the values of the function at all nearby points.

2.

FLASHCARD QUESTION

Front

What does it mean for a function to have a maximum?

Back

A function has a maximum at a point if the value of the function at that point is greater than or equal to the values of the function at all nearby points.

3.

FLASHCARD QUESTION

Front

What is the end behavior of a polynomial function with an even degree and a positive leading coefficient?

Back

4.

FLASHCARD QUESTION

Front

What is the end behavior of a polynomial function with an odd degree and a positive leading coefficient?

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is the product property of logarithms?

Back

7.

FLASHCARD QUESTION

Front

What is the quotient property of logarithms?

Back

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