Spiral Review (S2 Week 1)

Front

What is the value of k if g(x) = kf(x) and the answer is -3?

Back

k = -3

Front

What is the domain of g^{-1}(x) if the answer is [3,∞)?

Back

The domain of g^{-1}(x) is [3,∞).

Front

What is the value of k in the function f(x) = 2x + 4 if the graph shows f(x) + k and the answer is -4?

Back

k = -4

Front

Which function is one-to-one? y = 7|x|, y = 7x^2, y = 7√x, or y = 7?

Back

y = 7√x is one-to-one.

Front

Define a one-to-one function.

Back

A one-to-one function is a function where each output is produced by exactly one input.

Front

What does the notation g^{-1}(x) represent?

Back

g^{-1}(x) represents the inverse function of g(x).

Front

How do you determine if a function is one-to-one using its graph?

Back

A function is one-to-one if any horizontal line intersects the graph at most once.

Front

What is the significance of the slope in a linear function?

Back

The slope indicates the rate of change of the function; it shows how much y changes for a unit change in x.

Front

What is the general form of a linear function?

Back

The general form of a linear function is f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, for any two points x1 and x2 where x1 < x2, f(x1) < f(x2).