Mod 9 Part 2 Test Review

Front

What is the y-intercept of a function?

Back

The y-intercept is the point where the graph of a function intersects the y-axis. It is the value of the function when x = 0.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What does it mean if a function exhibits exponential decay?

Back

Exponential decay occurs when a quantity decreases at a rate proportional to its current value, typically represented by a function of the form f(x) = a(1 - r)^x, where 0 < r < 1.

Front

Identify the initial value in the function f(x) = 13(0.27)^x.

Back

The initial value (y-intercept) is 13, which is the value of the function when x = 0.

Front

What is the parent function of exponential functions?

Back

The parent function of exponential functions is f(x) = a^x, where a > 0 and a ≠ 1.

Front

How do you translate the graph of a function vertically?

Back

To translate the graph of a function vertically, you add or subtract a constant from the function. For example, g(x) = f(x) + k translates the graph of f(x) upward by k units if k > 0, and downward if k < 0.

Front

What is the range of the function f(x) = 3^x?

Back

The range of the function f(x) = 3^x is (0, ∞), meaning it can take any positive value.

Front

What is the difference between exponential growth and decay?

Back

Exponential growth occurs when a quantity increases at a rate proportional to its current value, while exponential decay occurs when it decreases at a rate proportional to its current value.

Front

How do you find the y-intercept of a function given in the form f(x) = a(b)^x?

Back

To find the y-intercept, substitute x = 0 into the function. The y-intercept is f(0) = a(b)^0 = a.

Front

What does the notation f(x) = 3^x + 4 represent?

Back

This notation represents a vertical translation of the parent function f(x) = 3^x, shifted upward by 4 units.