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.

Tags

CCSS.HSF-BF.A.1C

Front

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

Back

No, they are not inverses.

Tags

CCSS.HSF-BF.B.4B

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.

Tags

CCSS.HSF-IF.C.7B

Front

What is the general form of a square root function?

Back

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

Tags

CCSS.HSF-IF.C.7B

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.

Tags

CCSS.HSF-BF.B.4B

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.

Tags

CCSS.HSF-IF.C.7B