Evaluating Functions

Front

What is a function?

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 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 variable into the function's equation.

Front

What is the value of f(x) = -x + 3 when x = 7?

Back

f(7) = -7 + 3 = -4.

Front

What is the value of h(x) = (-5)^x when x = 2?

Back

h(2) = (-5)^2 = 25.

Front

How do you find f(4) for the function f(x) = 4x + 5?

Back

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

Front

What is the output of f(x) = 4 when x = 4?

Back

f(4) = 4.

Front

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

Back

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

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

What does the slope of a linear function represent?

Back

The slope represents the rate of change of the function; it indicates how much the output changes for a unit change in the input.