Function Notation & End Behavior

Front

What is function notation?

Back

Function notation is a way to represent functions using symbols like f(x), g(x), or h(x) instead of using y. It helps to clearly identify the input and output of a function.

Front

Evaluate f(1) if f(x) = 2.

Back

f(1) = 2.

Front

What does it mean to find f(2)?

Back

Finding f(2) means to substitute x with 2 in the function, i.e., let x = 2.

Front

What is the end behavior of a function?

Back

End behavior describes how the output of a function (f(x)) behaves as the input (x) approaches positive or negative infinity.

Front

If f(x) approaches -∞ as x approaches -∞, what does this indicate about the graph of f(x)?

Back

This indicates that the graph of f(x) falls downwards to the left.

Front

If f(x) approaches +∞ as x approaches +∞, what does this indicate about the graph of f(x)?

Back

This indicates that the graph of f(x) rises upwards to the right.

Front

Evaluate h(5) for the function h(x) = 5x + 1.

Back

h(5) = 5(5) + 1 = 26.

Front

What is the output of a function when the input is 0?

Back

The output of a function when the input is 0 is found by evaluating f(0).

Front

What does the notation f(x) = 3x + 2 represent?

Back

This notation represents a linear function where the output is determined by multiplying the input x by 3 and then adding 2.

Front

What is the significance of the slope in a linear function?

Back

The slope indicates the rate of change of the function; it shows how much the output changes for a unit change in the input.