Mod 4 Finals Review

Front

What is the inverse of the function R(x) = 2x + 1?

Back

R^{-1}(x) = \frac{x-1}{2}

Front

How do you find the inverse of a function from a table?

Back

To find the inverse of a function from a table, swap the x and y values for each ordered pair.

Front

What is the equation of the graph that represents f(x) = |x + 2| - 4?

Back

The equation represents a V-shaped graph that opens upwards with vertex at (-2, -4).

Front

What is the equation of the graph that represents f(x) = |x - 5|?

Back

The equation represents a V-shaped graph that opens upwards with vertex at (5, 0).

Front

In a piecewise function, how do you determine the interval that charges the most per person?

Back

Analyze the function's definition on each interval and find the maximum value.

Front

What is the definition of a piecewise function?

Back

A piecewise function is defined by different expressions based on the input value.

Front

How do you determine the inverse of a linear function?

Back

To find the inverse of a linear function, swap x and y, then solve for y.

Front

What is the vertex form of an absolute value function?

Back

The vertex form of an absolute value function is f(x) = a|x - h| + k, where (h, k) is the vertex.

Front

What does the absolute value function represent graphically?

Back

The absolute value function represents a V-shaped graph that reflects values above the x-axis.

Front

What is the significance of the vertex in an absolute value function?

Back

The vertex is the point where the graph changes direction and represents the minimum or maximum value.