What is the slope in the equation $$y = mx + b$$ ?

The slope $$m$$ represents the rate of change of $$y$$ with respect to $$x$$ .

What does the y-intercept represent in the equation $$y = mx + b$$ ?

The y-intercept $$b$$ is the value of $$y$$ when $$x = 0$$ .

What type of equation is $$y = 5^x$$ ?

This is an exponential equation.

What type of equation is $$y = \frac{1}{\text{sqrt}{x}}$$ ?

This is neither a linear nor an exponential equation.

What is the graph of a linear equation like?

The graph of a linear equation is a straight line.

What is the graph of an exponential equation like?

The graph of an exponential equation is a curve that increases or decreases rapidly.

What happens to the value of $$y$$ as $$x$$ increases in an exponential equation?

In an exponential equation, as $$x$$ increases, $$y$$ increases rapidly if $$b > 1$$ or decreases rapidly if $$0

What is the domain of a linear function?

The domain of a linear function is all real numbers.

What is the domain of an exponential function?

The domain of an exponential function is all real numbers.

Linear vs exponential equations Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the general form of a linear equation?

Back

2.

FLASHCARD QUESTION

Front

What is the general form of an exponential equation?

Back

3.

FLASHCARD QUESTION

Front

What distinguishes a linear equation from an exponential equation?

Back

A linear equation has a constant rate of change, while an exponential equation has a variable rate of change that increases or decreases exponentially.

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is an example of a linear equation?

Back

7.

FLASHCARD QUESTION

Front

What is an example of an exponential equation?

Back

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