What is the absolute value equation $$0.25=|x-120|$$ used for?

This equation specifies a range of values for $$x$$ . It means that $$x$$ can be 0.25 units away from 120, leading to two possible solutions.

What does it mean for a function to be one-to-one?

A function is one-to-one if each output is produced by exactly one input, meaning it passes the horizontal line test.

What is the formula for the product of two binomials?

The product of two binomials $$(a+b)(c+d)$$ can be found using the distributive property: $$ac + ad + bc + bd$$ .

What is the definition of a rational function?

A rational function is a function that can be expressed as the ratio of two polynomials: $$f(x) = \frac{P(x)}{Q(x)}$$ , where $$P$$ and $$Q$$ are polynomials.

What is the concept of domain in a function?

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

What is the range of a function?

The range of a function is the set of all possible output values (y-values) that the function can produce.

What is the difference between linear and quadratic functions?

Linear functions have a constant rate of change and are represented by a straight line, while quadratic functions have a variable rate of change and are represented by a parabola.

What is the purpose of factoring in algebra?

Factoring is used to simplify expressions, solve equations, and find roots of polynomials by expressing them as products of simpler expressions.

What is the relationship between a function and its inverse?

The inverse of a function reverses the input and output. If $$f(a) = b$$ , then $$f^{-1}(b) = a$$ .

Math 3 Midterm Exam Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a function with an inverse that is also a function?

Back

2.

FLASHCARD QUESTION

Front

What does it mean for two expressions to be equivalent?

Back

3.

FLASHCARD QUESTION

Front

How do you find the product of two functions?

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

How do you calculate exponential growth?

Back

6.

FLASHCARD QUESTION

Front

What is the definition of a quadratic function?

Back

7.

FLASHCARD QUESTION

Front

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

Back

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