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) = 2x + 3 when x = 5?

Back

f(5) = 2(5) + 3 = 10 + 3 = 13.

Front

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

Back

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

Front

What is the y-intercept of the function f(x) = 3x + 4?

Back

The y-intercept is 4, which is the value of f(0).

Front

How do you find the value of f(-2) for the function f(x) = x^2 - 3?

Back

f(-2) = (-2)^2 - 3 = 4 - 3 = 1.

Front

What is the output of the function f(x) = 5x - 1 when x = 0?

Back

f(0) = 5(0) - 1 = -1.

Front

What does it mean if a function is undefined at a certain point?

Back

A function is undefined at a certain point if there is no output for that input, often due to division by zero or taking the square root of a negative number.

Front

Evaluate f(x) = x^2 for f(-3).

Back

f(-3) = (-3)^2 = 9.