A2H Midterm Review #2

Front

What is the definition of a function?

Back

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

Front

What does it mean for a function to be invertible?

Back

A function is invertible if there exists another function that reverses its effect, meaning for every output, there is a unique input.

Front

How do you find the inverse of a function algebraically?

Back

To find the inverse, replace f(x) with y, swap x and y, and solve for y.

Front

What is the effect of reflecting a function over the x-axis?

Back

Reflecting a function over the x-axis changes the sign of the output values, resulting in f(x) becoming -f(x).

Front

What does it mean to vertically shrink a function by a factor of 1/4?

Back

To vertically shrink a function by a factor of 1/4, multiply the output values by 1/4, resulting in f(x) becoming (1/4)f(x).

Front

What is the transformation of shifting a function left by 9 units?

Back

Shifting a function left by 9 units involves replacing x with (x + 9) in the function's equation.

Front

What is the general form of a cubic root function?

Back

The general form of a cubic root function is f(x) = ∛(x).

Front

How do you determine the domain of a function?

Back

The domain of a function is the set of all possible input values (x) 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 (f(x)) that the function can produce.

Front

What is the significance of the vertex in a graph of a function?

Back

The vertex is the highest or lowest point of a graph, indicating the maximum or minimum value of the function.