ALG C&C_CW_Unit 1 Test REVIEW

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

How can you determine if a function is linear?

Back

Check for a constant rate of change in the domain.

Front

What is function notation?

Back

Function notation is a way to represent functions in the form f(x), where f is the name of the function and x is the input variable.

Front

Convert the equation y = 2x - 3 into function notation.

Back

f(x) = 2x - 3.

Front

What does the inequality 9x + 25y ≥ 200 represent in a real-world context?

Back

It represents the condition that Colin must earn at least $200 from his two jobs.

Front

What does the inequality x + y ≤ 16 signify in Colin's job scenario?

Back

It signifies that Colin can work a maximum of 16 hours in total at both jobs.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What does the inequality -9 < x ≤ 2 represent?

Back

It represents the range of x-values for which the function is valid, indicating that x can be greater than -9 but less than or equal to 2.

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the value of the input variable into the function's equation.

Front

Evaluate h(5) for the function h(x) = 13 - 5x.

Back

h(5) = 13 - 5(5) = 13 - 25 = -12.