Algebra 1 STAAR FLASHCARD

Front

What is a function in algebra?

Back

A function is a relation that assigns exactly one output (y) for each input (x).

Front

What does the term 'linear function' mean?

Back

A linear function is a function that graphs to a straight line, represented by the equation y = mx + b, where m is the slope and b is the y-intercept.

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?

Back

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

Front

How do you determine if a relation is a function?

Back

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

Front

What is a table of values in relation to functions?

Back

A table of values lists pairs of input (x) and output (y) values that represent a function.

Front

What does it mean for two functions to be equivalent?

Back

Two functions are equivalent if they produce the same output for every input in their domain.

Front

What is the difference between independent and dependent variables?

Back

The independent variable is the input (x), while the dependent variable is the output (y) that depends on the input.

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically written in the form y = ax^2 + bx + c.

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on its orientation.