HW 12/3: Domain and Range of Quadratic Functions

Front

What is the definition of 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.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the definition of 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

Identify the domain of the quadratic function: f(x) = x^2.

Back

All real numbers.

Front

Identify the range of the quadratic function: f(x) = x^2.

Back

y ≥ 0.

Front

What is the vertex of a quadratic function?

Back

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

Front

How do you find the vertex of a quadratic function in standard form?

Back

For a function in the form f(x) = ax^2 + bx + c, the vertex can be found using the formula x = -b/(2a).

Front

What is the maximum height of a projectile modeled by a quadratic function?

Back

The maximum height corresponds to the y-value of the vertex of the quadratic function.

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's positive, the parabola opens upwards; if negative, it opens downwards.

Tags

CCSS.HSF-IF.C.7A

Front

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

Back

The x-intercepts can be found by setting the function equal to zero and solving for x.

Tags

CCSS.HSF-IF.C.7A

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by the equation x = -b/(2a).