Comparing Functions and rates of change

Front

What does the function d(x) = 9.25x represent?

Back

It represents the total amount of money Derek makes after working x hours at a rate of $9.25 per hour.

Front

What is the meaning of d(4) = 37 in the context of Derek's earnings?

Back

After 4 hours of work, Derek makes $37.

Front

How do you find the coordinates of a point in a coordinate plane?

Back

The coordinates are given in the form (x, y), where x is the horizontal position and y is the vertical position.

Front

What are the coordinates of point T if T = (-3, -2)?

Back

Point T is located at (-3, -2) in the coordinate plane.

Front

List the names of Santa's reindeer.

Back

Dasher, Dancer, Prancer, Vixen, Comet, Cupid, Donner, Blitzen, and Rudolph.

Front

What is the value of f(0) if f(x) = 6x² - 4?

Back

f(0) = -4.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a linear function represent?

Back

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

Front

How do you determine the rate of change between two points on a linear function?

Back

The rate of change (slope) can be calculated using the formula (y2 - y1) / (x2 - x1) between two points (x1, y1) and (x2, y2).

Front

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

Back

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