Transformation of Linear Functions

Front

What is the parent function of linear functions?

Back

The parent function of linear functions is f(x) = x, which represents a straight line with a slope of 1 and a y-intercept of 0.

Front

What does the slope of a linear function represent?

Back

The slope of a linear function represents the rate of change of the function, indicating how much the y-value changes for a unit change in the x-value.

Front

If the slope of f(x) is greater than the slope of g(x), how is f(x) described?

Back

f(x) is described as 'steeper' than g(x).

Front

If the slope of f(x) is less than the slope of g(x), how is f(x) described?

Back

f(x) is described as 'less steep' than g(x).

Front

What effect does a positive slope have on the graph of a linear function?

Back

A positive slope causes the graph of a linear function to rise from left to right.

Front

What effect does a negative slope have on the graph of a linear function?

Back

A negative slope causes the graph of a linear function to fall from left to right.

Front

What is the significance of the y-intercept in a linear function?

Back

The y-intercept is the point where the graph crosses the y-axis, indicating the value of the function when x = 0.

Front

How does changing the slope of a linear function affect its graph?

Back

Changing the slope of a linear function alters the steepness of the line; a larger slope results in a steeper line.

Front

What happens to the graph of a linear function if the slope is zero?

Back

If the slope is zero, the graph is a horizontal line, indicating that the y-value remains constant regardless of the x-value.

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.