Midterm Review Part 1...Alg 2

Front

What are the domain restrictions for the function represented in the graph?

Back

-2 < x ≤ 1

Front

Write the equation for the line shown by counting the slope and identifying the y-intercept.

Back

y = -1/2x + 2

Front

What is this type of function called?

Back

Step Function

Front

Factor the expression: x^2 + 9x - 36.

Back

(x + 12)(x - 3)

Front

Factor the expression: 7r^3 - 8r^2 + 42r - 48.

Back

(r^2 + 6)(7r - 8)

Front

Define the domain of a function.

Back

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

Front

What is a linear function?

Back

A function that can be graphically represented as a straight line, defined by the equation y = mx + b.

Front

Explain what a slope is in the context of a linear function.

Back

The slope (m) represents the rate of change of the function, calculated as the rise over run between two points on the line.

Front

What is a y-intercept?

Back

The y-coordinate of the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

Front

What is a discrete function?

Back

A function that only takes on specific, separate values, often represented by distinct points on a graph.