Math 1 MOY Review

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x), where x is the input.

Front

What does it mean for two functions to be equivalent?

Back

Two functions are equivalent if they produce the same output for every input in their domain.

Front

How do you analyze a graph of a function?

Back

To analyze a graph, observe its shape, intercepts, slopes, and any asymptotes to understand its behavior.

Front

What is a linear equation?

Back

A linear equation is an equation that forms a straight line when graphed, typically in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise (change in y) over the run (change in x).

Front

What is a y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

How do you find the solutions of a linear equation?

Back

Solutions of a linear equation can be found by substituting values for x and solving for y, or vice versa.

Front

What is a table of values in relation to a function?

Back

A table of values lists pairs of input (x) and output (y) values that satisfy a function.

Front

What is the difference between independent and dependent variables?

Back

The independent variable is the input (x), while the dependent variable is the output (y) that depends on the input.

Front

How do you interpret the cost function of a taxi service?

Back

The cost function relates the total cost (y) to the distance traveled (x), often showing a linear relationship.