5.2: Evaluating Functions (Graphs)

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What does f(x) represent in function notation?

Back

f(x) represents the output of the function f for a given input x.

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the value of x into the function's equation and simplify.

Front

What is the value of f(0) if f(x) = 2x + 4?

Back

f(0) = 4.

Front

What is the value of f(1) if f(x) = 2x - 2?

Back

f(1) = 0.

Front

What is the value of f(2) if f(x) = 4x?

Back

f(2) = 8.

Front

What does it mean for f(x) to equal a specific value?

Back

It means finding the input x for which the function f produces that output.

Front

For what value of x does f(x) = -2 if f(x) = 2x - 2?

Back

x = -5.

Front

What is the significance of the x-intercept in a function's graph?

Back

The x-intercept is the point where the graph crosses the x-axis, indicating where f(x) = 0.

Front

What is the significance of the y-intercept in a function's graph?

Back

The y-intercept is the point where the graph crosses the y-axis, indicating the value of f(0).