3.4 Intro to Intercepts of Functions

Front

What is an intercept in the context of a function?

Back

An intercept is a point where a function crosses the x-axis (x-intercept) or the y-axis (y-intercept).

Front

How do you find the y-intercept of a function from its graph?

Back

The y-intercept is found at the point where the graph intersects the y-axis, which occurs when x = 0.

Front

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

Back

The x-intercept indicates the values of x for which the function's output (y) is zero.

Front

How can you determine the intervals where a function is positive?

Back

A function is positive where its graph lies above the x-axis, meaning y > 0.

Front

What does the notation (0, -2) represent in the context of intercepts?

Back

(0, -2) represents the y-intercept of a function, indicating that the function crosses the y-axis at -2.

Front

What is the difference between a positive interval and a negative interval for a function?

Back

A positive interval is where the function's values are greater than zero, while a negative interval is where the function's values are less than zero.

Front

How do you identify the y-intercept from a list of ordered pairs?

Back

The y-intercept can be identified as the ordered pair where the x-coordinate is 0.

Front

What is the y-intercept of the function represented by the ordered pairs (1, 3), (9, 10), (0, -4), (8, 9), (4, 0)?

Back

The y-intercept is (0, -4).

Front

What does the interval notation 0 < x < 4 signify?

Back

It signifies that the function is positive for all x values between 0 and 4, not including 0 and 4.

Front

How can you graphically represent the intercepts of a function?

Back

Intercepts can be represented on a graph by plotting the points where the function crosses the axes.