Evaluating Functions

Front

What is a function in mathematics?

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

What does it mean to evaluate a function?

Back

To evaluate a function means to calculate the output of the function for a given input value.

Front

How do you denote a function?

Back

A function is typically denoted by a letter such as f, g, or h, followed by the input variable in parentheses, e.g., f(x).

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

How do you find the value of a function at a specific point?

Back

To find the value of a function at a specific point, substitute the input value into the function's equation and simplify.

Front

What is the output of the function f(x) = 2x + 3 when x = 1?

Back

The output is f(1) = 2(1) + 3 = 5.

Front

What is the value of f(-1) if f(x) = 9x^2 + 2x - 3?

Back

f(-1) = 9(-1)^2 + 2(-1) - 3 = 9 - 2 - 3 = 4.

Front

How do you evaluate a linear function?

Back

To evaluate a linear function, substitute the input value into the function's equation and perform the arithmetic operations.

Front

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

Back

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

Front

What is the value of f(4) if f(x) = 4x + 5?

Back

f(4) = 4(4) + 5 = 16 + 5 = 21.