HW 2 (F-IF, F-BF)

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one and only one y-value.

Front

Is the relation {(1,2), (2,3), (1,4)} a function?

Back

No, because the input '1' corresponds to two different outputs (2 and 4).

Front

What is the equation of an exponential function?

Back

An exponential function can be expressed in the form f(x) = a(b)^x, where a is a constant, b is the base, and x is the exponent.

Front

What is the formula for Average Rate of Change?

Back

Front

What type of sequence do linear functions represent?

Back

Linear functions represent an Arithmetic Sequence, where the difference between consecutive terms is constant.

Front

What is the general form of a linear function?

Back

The general form of a linear function is f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine if a graph represents a function?

Back

You can use the Vertical Line Test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope of the line is 2.

Front

What does the y-intercept represent in a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation f(x) = mx + b.

Front

What is the difference between linear and exponential functions?

Back

Linear functions have a constant rate of change, while exponential functions have a variable rate of change that increases or decreases multiplicatively.