(Part 1) 24 Fall Algebraic Reasoning Final Review

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible x values that can be input into the function.

Front

What symbol is used to represent a closed dot when graphing inequalities?

Back

The symbols ≤ and ≥ are used to represent a closed dot when graphing inequalities.

Front

What is the equation of a line with a slope of 2 and a y-intercept of 4?

Back

The equation is y = 2x + 4.

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form f(x) = a * b^x, where a is a constant, b is a positive real number, and x is the exponent.

Front

How do you find the equation of a line given two points?

Back

Use the formula y - y1 = m(x - x1), where m is the slope calculated as (y2 - y1)/(x2 - x1).

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as x increases, the value of f(x) also increases.

Front

What is the range of a function?

Back

The range of a function is the set of all possible y values that can be output from the function.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x value) has exactly one output (y value).

Front

What is the purpose of using a graphing calculator?

Back

A graphing calculator is used to visualize functions, solve equations, and analyze data.

Front

What does it mean for a line to have a negative slope?

Back

A line with a negative slope decreases as it moves from left to right on a graph.