Function Notation

Front

What is function notation?

Back

Function notation is a way to represent functions in mathematics, typically using symbols like f(x), g(x), or h(x) to denote the output of a function for a given input x.

Front

What does it mean for a relation to be a function?

Back

A relation is a function if every input (x-value) is associated with exactly one output (y-value). This means that no x-value can map to more than one y-value.

Front

How do you determine if a set of ordered pairs represents a function?

Back

To determine if a set of ordered pairs represents a function, check if any x-value appears more than once. If it does, the relation is not a function.

Front

What is the value of H(t) when H(t) = 4?

Back

To find the value of t for which H(t) = 4, you need to solve the equation H(t) = 4.

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the given input value into the function's equation and simplify to find the output.

Front

What is the slope-intercept form of a linear function?

Back

The slope-intercept form of a linear function is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the output of a linear function given an input?

Back

To find the output of a linear function given an input, substitute the input value into the function's equation and calculate the result.

Front

What is the significance of the ordered pair (-2, 0) in relation to functions?

Back

The ordered pair (-2, 0) is significant because if it is included in a relation where -2 is already associated with another y-value, it would violate the definition of a function.

Front

What is the process for solving for h(8) in the function h(x) = -9x + 5?

Back

To solve for h(8), substitute 8 for x in the equation h(x) = -9x + 5, resulting in h(8) = -9(8) + 5 = -72 + 5 = -67.

Front

How do you find f(1) if f(x) = -4x - 5?

Back

To find f(1), substitute 1 for x in the equation f(x) = -4x - 5, resulting in f(1) = -4(1) - 5 = -4 - 5 = -9.