EM2 - Unit 3 Retake Flashcardizz

Front

What is the restriction on the domain of f(x) for the inverse function g(x)=f⁻¹(x) to exist?

Back

x ≥ 0

Front

Write the equation of a square root graph with a center of (4,5), reflected over the y-axis and stretched vertically by 2 units.

Back

y = 2√(-(x-4)) + 5

Front

Simplify the expression: 3 x² y² z √3yz

Back

3 x y z √xy²

Front

Find the inverse of the function f(x)= x⁴ - 2.

Back

f⁻¹(x) = ∜(x + 2)

Front

Identify the false statement about the graph: The range is all real numbers, The function has been shifted 6 units right, The function has been shifted up 1 unit, The function has been vertically stretched by a factor of 2.

Back

The function has been shifted 6 units right.

Front

What is the definition of a function's inverse?

Back

A function's inverse reverses the input and output of the original function.

Front

What does it mean for a graph to be reflected over the y-axis?

Back

The x-coordinates of all points on the graph are negated.

Front

What is the effect of a vertical stretch on a graph?

Back

It multiplies the y-values of the function by a factor greater than 1.

Front

How do you determine the range of a function?

Back

The range is the set of all possible output values (y-values) of the function.

Front

What is the general form of a square root function?

Back

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