Fall Interim Review 1: Functions, Transformations, Domain/Range

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

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 does it mean for a graph to be 'steeper'?

Back

A graph is steeper if it rises or falls more quickly as you move along the x-axis, indicating a larger absolute value of the slope.

Front

How does adding a constant to a function affect its graph?

Back

Adding a constant to a function shifts the graph vertically. For example, g(x) = f(x) + 3 shifts the graph of f up by 3 units.

Front

What is a linear parent function?

Back

The linear parent function is f(x) = x, which represents a straight line with a slope of 1 and a y-intercept of 0.

Front

What does it mean for a graph to be reflected over the x-axis?

Back

Reflecting a graph over the x-axis means that for every point (x, y) on the graph, there is a corresponding point (x, -y) on the reflected graph.

Front

What is the effect of multiplying a function by a factor greater than 1?

Back

Multiplying a function by a factor greater than 1 makes the graph steeper. For example, g(x) = 2f(x) is steeper than f(x).

Front

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

Back

To find the value of a function at a specific point, substitute the x-value into the function's equation and solve for y.

Front

What is the transformation of g(x) = -f(x)?

Back

The transformation g(x) = -f(x) reflects the graph of f over the x-axis.