EOC.3.3 Function Characteristics

Front

What is the axis of symmetry in a parabola?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves. It passes through the vertex of the parabola.

Front

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

Back

The x-intercept is found by setting the function equal to zero and solving for x. It represents the point where the graph crosses the x-axis.

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

What is the minimum value of a function?

Back

The minimum value is the lowest point on the graph of the function, representing the smallest output value (y-value) for the given inputs.

Front

What are roots or x-intercepts?

Back

Roots or x-intercepts are the values of x for which the function equals zero. They are the points where the graph intersects the x-axis.

Front

What does a parabola look like?

Back

A parabola is a U-shaped curve that can open upwards or downwards, defined by a quadratic function.

Front

What is a quadratic function?

Back

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

Front

How can you determine if a parabola opens upwards or downwards?

Back

A parabola opens upwards if the coefficient of x^2 (a) is positive and downwards if it is negative.

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation. It is the point where the axis of symmetry intersects the parabola.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex represents the maximum or minimum value of the function and is crucial for graphing the parabola.