EM2 - Unit 3 Retake Flashcardizz

Front

What is the composition of functions f(g(x)) if f(x) = 3x + 5 and g(x) = 1/3x + 5?

Back

f(g(x)) = 3(1/3x + 5) + 5 = x + 20.

Front

Are the functions f(x) = 3x + 5 and g(x) = 1/3x + 5 inverses of each other?

Back

No, they are not inverses.

Front

What is the range of all square root functions?

Back

All square root functions are different.

Front

What does it mean if a function has been shifted 6 units to the right?

Back

The function's graph moves horizontally to the right by 6 units.

Front

What is the effect of a vertical stretch by a factor of 2 on a function?

Back

The graph of the function is stretched away from the x-axis by a factor of 2.

Front

Match the equation y = √(x - 2) with its graph.

Back

The graph represents a square root function shifted 2 units to the right.

Front

What is the general form of a square root function?

Back

y = √(x - h) + k, where (h, k) is the vertex.

Front

How do you determine if two functions are inverses?

Back

Two functions f(x) and g(x) are inverses if f(g(x)) = x and g(f(x)) = x.

Front

What is the domain of the function y = √(x)?

Back

The domain is [0, ∞).

Front

What happens to the graph of y = √(x) when you add a constant to x?

Back

Adding a constant shifts the graph horizontally.