Unit 3 Assessment - N-Gen Math Algebra I

A function is a relation that assigns exactly one output for each input from its domain. It can be represented by an equation, a table, or a graph.

To find the roots of a quadratic function of the form $$f(x) = ax^2 + bx + c$$ , set $$f(x) = 0$$ and solve for $$x$$ using factoring, the quadratic formula, or completing the square.

The vertex of a parabola is the highest or lowest point of the graph, depending on whether it opens upwards or downwards. It represents the maximum or minimum value of the function.

The average rate of change of a function $$f$$ from $$x=a$$ to $$x=b$$ is given by the formula $$\frac{f(b) - f(a)}{b - a}$$ .

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

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

A linear function is a function that can be expressed in the form $$f(x) = mx + b$$ , where $$m$$ is the slope and $$b$$ is the y-intercept.

The slope of a linear function represents the rate of change of the output value with respect to the input value. It indicates how much the output increases or decreases for each unit increase in the input.

A set is a collection of distinct objects, considered as an object in its own right. Sets are often defined by listing their elements or by a property that their members share.

A set of integers greater than a certain value can be represented using set notation. For example, the set of integers greater than 8 and at most 12 is represented as $${9, 10, 11, 12}$$ .