ALG C&C_CW_3.04-3.05 LC

Front

What is an asymptote?

Back

An asymptote is a line that a graph approaches but never touches. For example, in the function y = 4, the line y = 4 is a horizontal asymptote.

Front

How do you express a population that doubles every year starting from 1600 insects?

Back

Front

What is the end behavior of a function if as x approaches infinity, y approaches 2 and as x approaches negative infinity, y approaches infinity?

Back

Front

How do you find the y-intercept of a function?

Back

The y-intercept is the value of y when x = 0. For example, if the y-intercept is 3, then the function crosses the y-axis at (0, 3).

Front

What is the range of a function if it is defined as y > -6?

Back

The range of the function includes all values of y that are greater than -6.

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input. For example, f(x) = x^2 is a function.

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. For example, f(x) = 2x is an increasing function.

Front

What is a y-intercept?

Back

The y-intercept is the point where a graph intersects the y-axis, represented as (0, f(0)).

Front

What is the definition of a horizontal asymptote?

Back

A horizontal asymptote is a horizontal line that the graph of a function approaches as x approaches infinity or negative infinity.

Front

What is exponential growth?

Back

Exponential growth occurs when a quantity increases by a fixed percentage over a period of time, often modeled by the function f(t) = a(1 + r)^t.