Assignment 3.3 (Algebra I)

Front

Evaluate the function g(x) = -2x when x = 0.

Back

g(0) = -2(0) = 0.

Front

The function C(x) = 29x + 54.5 represents the cost of cable for x months. How do you find the number of months for a total cost of $344.50?

Back

Set C(x) = 344.50 and solve for x: 29x + 54.5 = 344.50.

Front

Evaluate the function g(x) = -2x when x = -2.

Back

g(-2) = -2(-2) = 4.

Front

Find the value of x so that g(x) = -10x equals 15.

Back

Set -10x = 15 and solve for x: x = -1.5.

Front

Evaluate the function g(x) = -2x when x = 5.

Back

g(5) = -2(5) = -10.

Front

What is the slope of the linear function C(x) = 29x + 54.5?

Back

The slope is 29, which represents the cost per month.

Front

What does the y-intercept represent in the function C(x) = 29x + 54.5?

Back

The y-intercept is 54.5, representing the initial installation fee.

Front

How do you evaluate a function at a specific value?

Back

Substitute the specific value into the function's equation.

Front

What is the general form of a linear function?

Back

A linear function can be expressed as f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

If g(x) = -2x, what is the value of g(10)?

Back

g(10) = -2(10) = -20.