What characterizes a linear function?

A function that can be expressed in the form $$f(x) = mx + b$$ , where $$m$$ is the slope and $$b$$ is the y-intercept.

What is a reciprocal function?

A function of the form $$f(x) = \frac{1}{x}$$ .

Define a square root function.

A function of the form $$f(x) = \sqrt{x}$$ , which returns the principal square root of $$x$$ .

What is the general form of a quadratic function?

A function that can be expressed as $$f(x) = ax^2 + bx + c$$ , where $$a \neq 0$$ .

What is a cubic function?

A function that can be expressed as $$f(x) = ax^3 + bx^2 + cx + d$$ , where $$a \neq 0$$ .

What is the parent function of a logarithmic function?

The function $$f(x) = \log_a(x)$$ , where $$a > 0$$ and $$a \neq 1$$ .

What is the general shape of a quadratic function's graph?

A parabola that opens upwards if $$a > 0$$ and downwards if $$a

Parent Function Identification Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Back

Constant function.

2.

FLASHCARD QUESTION

Front

Back

Exponential function.

3.

FLASHCARD QUESTION

Front

Back

Linear function.

4.

FLASHCARD QUESTION

Front

Back

Reciprocal function.

5.

FLASHCARD QUESTION

Front

Back

Square Root function.

6.

FLASHCARD QUESTION

Front

Define a constant function.

Back

A function that always returns the same value regardless of the input.

7.

FLASHCARD QUESTION

Front

What is an exponential function?

Back

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