CCA2 Chapter 1-3

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. For example, for the function f(x) = 1/x, the domain is all real numbers except x = 0.

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards. It can be found using the formula (h, k) where h is the x-coordinate and k is the y-coordinate.

Front

Multiply: (3x – 1)(x + 5)

Back

3x^2 + 14x - 5

Front

Evaluate the function: f(x) = 2x^2 - 5 at x = -3.

Back

f(-3) = 13

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. For example, for the function f(x) = x^2, the range is [0, ∞).

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, where a, b, and c are constants and a ≠ 0.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax^2 + bx + c = 0, where a, b, and c are constants.

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, for any two points x1 and x2 in that interval, if x1 < x2 then f(x1) < f(x2).

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing on an interval if, for any two points x1 and x2 in that interval, if x1 < x2 then f(x1) > f(x2).

Front

What is the axis of symmetry in a parabola?

Back

The axis of symmetry of a parabola is a vertical line that divides the parabola into two mirror-image halves. It can be found using the formula x = -b/(2a) for the quadratic equation ax^2 + bx + c.