Function Evaluation

Front

What is function evaluation?

Back

Function evaluation is the process of finding the output of a function for a given input value.

Front

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

Back

To evaluate a linear function at a specific point, substitute the input value 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

Evaluate f(x) = 2x + 3 at f(1). What is the result?

Back

f(1) = 2(1) + 3 = 5.

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 value changes for a unit change in the input value.

Front

Evaluate f(x) = -4x + 7 at f(2). What is the result?

Back

f(2) = -4(2) + 7 = -8 + 7 = -1.

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, represented by the value of b in the equation f(x) = mx + b.

Front

Evaluate f(x) = 5x - 2 at f(0). What is the result?

Back

f(0) = 5(0) - 2 = -2.

Front

What is the significance of evaluating a function at a negative input?

Back

Evaluating a function at a negative input helps understand the behavior of the function in the negative domain and can reveal symmetry or other properties.

Front

Evaluate f(x) = 3x + 1 at f(-1). What is the result?

Back

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