Function Characteristics

Front

What is a y-intercept?

Back

The y-intercept is the point where a graph intersects the y-axis. It is represented as (0, y).

Front

Which ordered pair represents a y-intercept?

Back

(0, y) where y can be any real number.

Front

What is the y-intercept of the graph of the function f(x) = 2x - 2?

Back

(0, -2) because when x = 0, f(0) = 2(0) - 2 = -2.

Front

What are x-intercepts?

Back

X-intercepts are the points where a graph intersects the x-axis, represented as (x, 0).

Front

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

Back

Set f(x) = 0 and solve for x.

Front

What is the end behavior of a function?

Back

End behavior describes how the values of a function behave as x approaches positive or negative infinity.

Front

What does it mean if a function's end behavior is 'As x → -∞, f(x) → -∞'?

Back

It means that as x goes to negative infinity, the function's values decrease without bound.

Front

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

Back

The vertex is the highest or lowest point of the parabola, indicating the maximum or minimum value of the function.

Front

How can you identify the vertex of a quadratic function in standard form?

Back

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

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 x = -b/(2a).