Unit 4 (4.12-4.15) Flashcard Review

Front

What is the difference between a maximum and a minimum value of a function?

Back

A maximum value is the highest point on the graph of a function, while a minimum value is the lowest point.

Front

How do you determine the maximum or minimum value of a quadratic function?

Back

You can determine the maximum or minimum value by finding the vertex of the parabola represented by the quadratic function.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

How do you find the y-intercept of a function?

Back

The y-intercept of a function is found by evaluating the function at x=0.

Front

What does it mean for a function to be transformed?

Back

Transforming a function involves changing its position, shape, or size, typically through operations like stretching, compressing, or translating.

Front

What is the effect of multiplying a function by a constant factor?

Back

Multiplying a function by a constant factor stretches or compresses the graph vertically, depending on whether the factor is greater than or less than 1.

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c.

Front

How can you identify the vertex of a quadratic function?

Back

The vertex of a quadratic function in standard form can be found using the formula x = -b/(2a), and then substituting x back into the function to find y.

Front

What is the significance of the leading coefficient in a quadratic function?

Back

The leading coefficient determines the direction of the parabola: if it is positive, the parabola opens upwards; if negative, it opens downwards.