Evaluate Functions - Algebra Fall 2024

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input from a set of inputs.

Front

What does f(x) represent in a function?

Back

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

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 into the function's equation.

Front

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

Back

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

Front

What is the y-intercept of the function y = -3x + 5?

Back

The y-intercept is 5, which is the value of y when x = 0.

Front

How do you find the value of f(6) for the function f(x) = 3x - 8?

Back

Substitute 6 for x: f(6) = 3(6) - 8 = 18 - 8 = 10.

Front

What is the value of f(2) for the function f(x) = 4x?

Back

f(2) = 4(2) = 8.

Front

What is the output of the function y = x - 6 when x = 6?

Back

When x = 6, y = 6 - 6 = 0.

Front

How do you complete a table for a linear function?

Back

To complete a table, choose values for x, substitute them into the function, and calculate the corresponding y values.

Front

What is the value of f(2) for the function f(x) = 2x + 1?

Back

f(2) = 2(2) + 1 = 4 + 1 = 5.