IM Algebra 1 Unit 2 Mixed Review

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x), where x is the input.

Front

What does the term 'domain' refer to in 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 term 'range' refer to in 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 interpret a graph of a function?

Back

A graph of a function shows the relationship between the input (x-axis) and output (y-axis) values, illustrating how the output changes as the input varies.

Front

What is a linear function?

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 a y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis, represented by the coordinates (0, b) in the equation y = mx + b.

Front

How do you find the value of a function at a specific input?

Back

To find the value of a function at a specific input, substitute the input value into the function's equation and solve for the output.

Front

What is a graph of a quadratic function?

Back

A quadratic function graphs to a parabola, which can open upwards or downwards, represented by the equation 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 the direction it opens.