Set It Up: Algebra I EOC 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 a function to model a real-world situation?

Back

It means that the function can be used to predict or describe behaviors and outcomes in real-life scenarios, such as population growth or financial trends.

Front

What is exponential growth?

Back

Exponential growth occurs when the increase of a quantity is proportional to its current value, leading to growth at an increasing rate.

Front

How do you calculate a percentage increase?

Back

To calculate a percentage increase, subtract the original value from the new value, divide by the original value, and multiply by 100.

Front

What is the formula for exponential growth?

Back

The formula is A = P(1 + r)^t, where A is the amount after time t, P is the initial amount, r is the growth rate, and t is time.

Front

What is the significance of the base in an exponential function?

Back

The base determines the rate of growth or decay; a base greater than 1 indicates growth, while a base between 0 and 1 indicates decay.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, represented by the equation 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 is a measure of the steepness of a line, calculated as the rise over run between two points on the line.

Front

What is the y-intercept of a function?

Back

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

Front

How do you find the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that will not cause any mathematical errors, such as division by zero.