Review Chapter 3 Test

Front

What does f(x) represent in a function?

Back

f(x) represents the output of the function for a given input x, often denoted as y.

Front

How do you evaluate a function at a specific point, such as f(4) for f(x) = 2x + 15?

Back

To evaluate f(4), substitute 4 for x in the function: f(4) = 2(4) + 15 = 23.

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

How can you determine if a table of values represents a function?

Back

A table represents a function if each input (x-value) corresponds to exactly one output (y-value).

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How do you find the value of f(x) when given a quadratic function, such as f(x) = x^2 + 7?

Back

To find f(2), substitute 2 for x: f(2) = 2^2 + 7 = 4 + 7 = 11.

Front

What is the difference between the domain and range of a function?

Back

The domain is the set of all possible input values (x-values), while the range is the set of all possible output values (y-values).

Front

What does it mean for a function to be linear?

Back

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

Front

What is the significance of the slope in a linear function?

Back

The slope indicates the rate of change of the function; it represents how much y changes for a unit change in x.

Front

How do you identify the y-intercept of a linear function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, found by setting x = 0 in the function.