Assessment: Elementary Functions and Transformations

Which family does y = √x belong to?

Which equation reflects y=f(x) over the y-axis?

For y = 2·3ˣ, find y when x = 3.

The graph of y = x³ is shifted 2 right and 1 down. What is the new equation?

For y = √(x − 4), find y when x = 13.

The point (6, 10) lies on y=f(x). What point lies on y=f(x/2)?

Travel time = 120/speed (distance 120 km). Find the travel time in hours at speed 40 km/h.

A bacteria population doubles every hour, starting at 50. Find the population after 3 hours (Population = 50·2ᵗ).

What is the vertex of y = −4(x + 3)² + 7, viewed as a transformation of y = x²?

Why is y = x³ described as an "odd" function?