Unit 3A/3B Test Review

Front

What is the domain of the reciprocal function after translating it left 5 and up 2?

Back

The domain is {x | x ≠ -5}.

Front

Write the equation of the reciprocal function translated right 3 and down 4.

Back

Front

What is the horizontal asymptote of the reciprocal function?

Back

The horizontal asymptote is y = -4.

Front

What is the vertical asymptote of the reciprocal function?

Back

The vertical asymptote is x = -3.

Front

Define the reciprocal function.

Back

The reciprocal function is defined as f(x) = \frac{1}{x}.

Front

What happens to the domain of a function when it is translated horizontally?

Back

The domain shifts left or right but the restrictions on x-values remain the same.

Front

How does translating a function vertically affect its range?

Back

Translating a function vertically shifts its range up or down without changing the x-values.

Front

What is the effect of translating the reciprocal function up by 2 units?

Back

The new function will have a horizontal asymptote at y = 2.

Front

What is the significance of vertical asymptotes in rational functions?

Back

Vertical asymptotes indicate values of x where the function is undefined.

Front

How do you find the vertical asymptote of a transformed reciprocal function?

Back

Set the denominator of the function equal to zero and solve for x.