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 expression and simplify.

Front

What is the value of f(0) for the function f(x) = -3(x-1)?

Back

f(0) = 3.

Front

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

Back

Substitute the input value into the linear function's equation and solve for the output.

Front

What is the output of g(x) = 3x + 1 when x = 10?

Back

g(10) = 31.

Front

How do you solve for x when given f(x) = k?

Back

Set the function equal to k and solve the resulting equation for x.

Front

Given f(x) = -4x - 10, how do you find x when f(x) = 10?

Back

Set -4x - 10 = 10, then solve for x to get x = -5.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that can be graphically represented as a straight line, characterized by the equation of the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of the function g(x) = 3x + 1?

Back

The slope of g(x) = 3x + 1 is 3.

Front

What is the y-intercept of the function g(x) = 3x + 1?

Back

The y-intercept of g(x) = 3x + 1 is 1.