Midterm Review - Unit 1

Front

Does the table represent a function?

Back

Yes, a relation is a function if each input has exactly one output.

Front

What type of function can be used to model the data given in the table?

Back

Linear functions can be used to model data that shows a constant rate of change.

Front

Is the function increasing or decreasing on the interval from c to d?

Back

Decreasing means that as the input increases, the output decreases.

Front

What is happening at point D?

Back

At point D, the object is moving at a fast steady speed away from the starting position.

Front

What is the range of the square root function? Use interval notation.

Back

The range of the square root function is [0,∞), meaning it includes all non-negative real numbers.

Front

Define a function in mathematical terms.

Back

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

Front

What is the difference between a linear and a quadratic function?

Back

Linear functions have a constant rate of change, while quadratic functions have a variable rate of change, typically forming a parabola.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, for any two points in its domain, the output at the higher input is greater than the output at the lower input.

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 is an example of a real-world situation that can be modeled by a linear function?

Back

The relationship between distance and time at a constant speed can be modeled by a linear function.