3 Vocabulary Terms - Define/Illustrate

1. Initial value 2. Rate of change 3. x-intercept

1 answer

1. Initial value: The initial value is the starting point or the value of a variable at the beginning of a situation or time period. It represents the value before any changes or adjustments have been made.

Illustration: Let's say you have $100 in your bank account when you start a month. The initial value of your bank account for that month would be $100.

2. Rate of change: The rate of change refers to how quickly a variable is changing over a specific period of time or distance. It indicates the speed or direction of change of a quantity.

Illustration: If you are driving a car and your distance traveled changes by 10 miles every hour, then the rate of change of your distance traveled is 10 miles per hour.

3. x-intercept: In a graph, the x-intercept is the point where a graph or a function crosses or intersects the x-axis. It represents the value of x at which the function or the graph has a y-coordinate of zero.

Illustration: In the graph of a linear function f(x) = 2x - 3, the x-intercept would be the point where the graph intersects the x-axis. In this case, the x-intercept would be (3/2, 0) because when x is equal to 3/2 (or 1.5), f(x) has a value of zero.
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