Evaluate Functions

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input from a set of inputs, typically represented as f(x).

Front

What does f(0) represent in a function f(x)?

Back

f(0) represents the output of the function when the input x is 0.

Front

How do you evaluate a linear function at a specific point?

Back

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

Front

What is the general form of a linear function?

Back

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

Front

How do you find the value of f(12) for the function f(x) = (3/2)x + 5?

Back

Substitute 12 for x in the function: f(12) = (3/2)(12) + 5 = 23.

Front

What is the significance of the coefficients in a quadratic function?

Back

The coefficients in a quadratic function determine the shape and position of the parabola represented by the function.

Front

How do you evaluate a quadratic function at a specific point?

Back

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

Front

What does h(2) represent in the function h(x) = 3x^2 - 2x + 8?

Back

h(2) represents the output of the function when the input x is 2.

Front

What is the process to substitute a value into a function?

Back

To substitute a value into a function, replace the variable in the function's equation with the given value and simplify.

Front

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

Back

f(1) = 2(1) + 1 = 3.