Algebra 1 Functions & Expressions Review

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 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

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 y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a quadratic function?

Back

A quadratic function is a function that can be represented by a polynomial of degree 2, typically in the form y = ax^2 + bx + c, where a, b, and c are constants.

Front

How do you evaluate an expression?

Back

To evaluate an expression, substitute the given values for the variables and perform the arithmetic operations according to the order of operations (PEMDAS/BODMAS).

Front

What does it mean for a function to be undefined?

Back

A function is undefined when there is no valid output for a given input, often due to division by zero or taking the square root of a negative number.

Front

What is the difference between independent and dependent variables?

Back

The independent variable is the input of a function (often x), while the dependent variable is the output (often y) that depends on the value of the independent variable.

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 y-intercept of a function?

Back

The y-intercept is the point where the graph of a function crosses the y-axis, represented by the value of y when x = 0.

Front

What is a function?

Back

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