Evaluate Functions & Graphs

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input from a given set, typically expressed as f(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 the variable into the function's expression and simplify.

Front

What does the notation f(x) represent?

Back

f(x) represents the output of the function f when the input is x.

Front

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

Back

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

Front

How can you find the value of f(x) from a graph?

Back

To find f(x) from a graph, locate the x-value on the horizontal axis and determine the corresponding y-value on the vertical axis.

Front

What is the slope of a linear function?

Back

The slope of a linear function is the ratio of the change in y to the change in x, indicating the steepness and direction of the line.

Front

What is the y-intercept of a function?

Back

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

Front

How do you find the output of a linear function given an input?

Back

Substitute the input value into the function's equation and solve for the output.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the input values increase, the output values also increase.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if, as the input values increase, the output values decrease.