EOC Review

Front

What is the initial value in the equation y = 6.87(4)^x?

Back

The initial value is 6.87.

Front

What does the y-intercept represent in a graph?

Back

The y-intercept is the value of y when x = 0, indicating the starting point of the graph.

Front

What is the domain of a function?

Back

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

Front

What is the equation of an exponential function?

Back

An exponential function can be expressed in the form y = a(b)^x, where a is the initial value and b is the growth factor.

Front

How do you find the rate of change from a linear equation?

Back

The rate of change is found by rearranging the equation into slope-intercept form (y = mx + b), where m is the slope.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases.

Front

What is the significance of the y-intercept in a real-world context?

Back

The y-intercept can represent the starting value of a quantity in a real-world scenario, such as initial water level.

Front

How do you determine if a graph represents a function?

Back

A graph represents a function if any vertical line drawn through it intersects the graph at most once (Vertical Line Test).

Front

What is the formula for the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does the term 'exponential growth' mean?

Back

Exponential growth occurs when a quantity increases by a consistent percentage over equal time intervals.