Evaluating Functions and Function Notation

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols, typically written as f(x), where 'f' is the name of the function and 'x' is the input variable.

Front

How do you evaluate a function at a specific point?

Back

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

Front

Given f(x) = 2x^2 + 5x - 17, find f(-1).

Back

f(-1) = -20.

Front

What does f(2) - f(3) represent in function evaluation?

Back

It represents the difference in the function's output values when the input is 2 and 3.

Front

Given f(x) = x^2 - 8, find f(2) - f(3).

Back

f(2) - f(3) = -5.

Front

What is the meaning of c(m) = 1.45m + 3.50 in a real-world context?

Back

c(m) represents the cost of a taxi ride for m miles.

Front

What does c(7) represent in the function c(m)?

Back

c(7) represents the cost to ride 7 miles.

Front

How do you find the value of f(x) for a quadratic function?

Back

Substitute the value of x into the quadratic equation and simplify to find f(x).

Front

Given f(x) = 6x^2 - 2x + 1, find f(-2) - 4.

Back

f(-2) - 4 = 25.

Front

What is the general form of a quadratic function?

Back

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