Unit 3 Test Review

Front

What is the minimum value of a function?

Back

The minimum value of a function is the lowest point on the graph of the function. It represents the smallest output value (y-value) that the function can produce.

Front

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

Back

The y-intercept of a graph is found by determining the point where the graph crosses the y-axis. This occurs when the x-coordinate is 0.

Front

Evaluate f(-2) if f(x) = x + 3.

Back

f(-2) = -2 + 3 = 1.

Front

What is a function rule?

Back

A function rule is an equation that describes the relationship between input (x) and output (y) values in a function.

Front

Write a function rule for the total cost of hiring a plumber who charges a service fee plus an hourly rate.

Back

y = 40 + 25x, where y is the total cost and x is the number of hours.

Front

How do you evaluate a function at a specific value?

Back

To evaluate a function at a specific value, substitute the value into the function's equation and simplify.

Front

What does it mean for a function to be linear?

Back

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

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

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, indicating the value of y when x is 0.

Front

How do you calculate the total cost of a service based on hourly rates?

Back

Total cost = fixed fee + (hourly rate × number of hours).