Hon IM1 -- Unit G Critical Points & # Sets Review

Front

What is an absolute maximum in a function?

Back

An absolute maximum is the highest point on the graph of a function, where the function value is greater than or equal to all other function values in its domain.

Front

What is an absolute minimum in a function?

Back

An absolute minimum is the lowest point on the graph of a function, where the function value is less than or equal to all other function values in its domain.

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

Find the y-intercept of the equation: y = 3x + 8.

Back

(0, 8)

Front

Find the y-intercept of the equation: 3x + y = 5.

Back

(0, 5)

Front

What is the x-intercept of a function?

Back

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

Front

Identify the x-intercept from the ordered pairs: (8,10), (3,-4), (0,8), (4,-3), (9,0).

Back

(9, 0)

Front

What does it mean for a function to have an absolute minimum?

Back

A function has an absolute minimum if there exists a point on the graph where the function value is less than all other function values.

Front

What is the difference between absolute maximum and relative maximum?

Back

An absolute maximum is the highest point over the entire domain, while a relative maximum is the highest point in a specific interval.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.