How do you find the x-intercepts of a quadratic function?

To find the x-intercepts of a quadratic function, set $$f(x) = 0$$ and solve the equation $$ax^2 + bx + c = 0$$ using factoring, completing the square, or the quadratic formula.

What is the quadratic formula?

The quadratic formula is used to find the solutions (roots) of a quadratic equation and is given by $$x = \frac{-b \text{±} \text{√}(b^2 - 4ac)}{2a}$$ .

What is the general shape of the graph of an exponential decay function?

The graph of an exponential decay function decreases rapidly and approaches the x-axis but never touches it, indicating that the function approaches zero.

What is the y-intercept of a function?

The y-intercept of a function is the point where the graph intersects the y-axis, found by evaluating the function at $$x = 0$$ .

What does it mean for two functions to be equivalent?

Two functions are equivalent if they produce the same output for every input in their domain, meaning their graphs overlap completely.

How can you determine the end behavior of a polynomial function?

The end behavior of a polynomial function is determined by the leading term. For example, if the leading term is $$ax^n$$ with $$a > 0$$ and even $$n$$ , the graph rises on both ends.

What is a function's domain?

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

What is a function's range?

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

Graph and Match Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is an exponential function?

Back

2.

FLASHCARD QUESTION

Front

What does the graph of an exponential function look like?

Back

3.

FLASHCARD QUESTION

Front

What is a quadratic function?

Back

4.

FLASHCARD QUESTION

Front

What is the vertex of a quadratic function?

Back

5.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic equation?

Back

6.

FLASHCARD QUESTION

Front

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

Back

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.

7.

FLASHCARD QUESTION

Front

What is the significance of the 'a' value in a quadratic function?

Back

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