Unfair Game Flashcard 1

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

How can you determine if a table represents y as a function of x?

Back

A table represents y as a function of x if each x-value corresponds to exactly one y-value.

Front

What does the notation g(x) represent?

Back

g(x) represents the output of the function g for a given input x.

Front

Evaluate g(20) for the function g(x) = 6(2x + 7).

Back

g(20) = 6(2(20) + 7) = 282.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

Given f(x) = 6(1 - x), what is f(-8)?

Back

f(-8) = 6(1 - (-8)) = 54.

Front

How do you evaluate a function at a specific value?

Back

To evaluate a function at a specific value, substitute the value into the function's equation and simplify.

Front

Evaluate f(-5) for the function f(x) = 7 - 4x.

Back

f(-5) = 7 - 4(-5) = 27.

Front

What is the definition of a dependent variable in a function?

Back

The dependent variable is the output of a function, typically represented as y, which depends on the input value x.

Front

What is the definition of an independent variable in a function?

Back

The independent variable is the input of a function, typically represented as x, which can be freely chosen.