What is the difference between a linear function and a quadratic function?

A linear function has a constant rate of change and is represented by a straight line, while a quadratic function has a variable rate of change and is represented by a parabola.

What is the general form of a linear function?

The general form of a linear function is $$f(x) = mx + b$$ , where m is the slope and b is the y-intercept.

What is the general form of a quadratic function?

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

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

The vertex of a quadratic function is the highest or lowest point on the graph, depending on the direction of the parabola.

What does the term 'asymptote' refer to in functions?

An asymptote is a line that a graph approaches but never touches or crosses.

What is the parent function for exponential functions?

The parent function for exponential functions is $$f(x) = a^x$$ , where a is a positive constant.

What is the range of an absolute value function?

The range of an absolute value function is all real numbers y such that $$y \geq 0$$ .

What is the domain of a linear function?

The domain of a linear function is all real numbers.

Parent Function Warm up Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a constant function?

Back

2.

FLASHCARD QUESTION

Front

What is the parent function for linear functions?

Back

3.

FLASHCARD QUESTION

Front

What is the parent function for quadratic functions?

Back

4.

FLASHCARD QUESTION

Front

What is the parent function for absolute value functions?

Back

5.

FLASHCARD QUESTION

Front

What is the parent function for square root functions?

Back

6.

FLASHCARD QUESTION

Front

What is the range of a quadratic function?

Back

The range of a quadratic function is all real numbers greater than or equal to the vertex's y-coordinate.

7.

FLASHCARD QUESTION

Front

What is the domain of a square root function?

Back

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