Function Notation

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols. It typically uses the letter 'f' followed by parentheses containing the variable, such as f(x), where 'x' is the input value.

Front

How do you evaluate a function at a specific value?

Back

To evaluate a function at a specific value, substitute the value into the function's equation in place of the variable. For example, to find f(2) for f(x) = 3x + 1, replace 'x' with 2: f(2) = 3(2) + 1 = 7.

Front

What does f(x) = 7 mean?

Back

f(x) = 7 means that the output of the function f for any input x is equal to 7. This indicates a constant function.

Front

If f(x) = 3x + 1, what is f(0)?

Back

f(0) = 3(0) + 1 = 1.

Front

What is the value of f(-2) if f(x) = x^2 + 3?

Back

f(-2) = (-2)^2 + 3 = 4 + 3 = 7.

Front

How do you find the x-value when f(x) = 7 for f(x) = 3x + 1?

Back

Set the equation equal to 7: 3x + 1 = 7. Solve for x: 3x = 6, so x = 2.

Front

What is the output of f(x) = -4x - 10 when x = 10?

Back

f(10) = -4(10) - 10 = -40 - 10 = -50.

Front

Evaluate f(0) for f(x) = -3(x - 1).

Back

f(0) = -3(0 - 1) = -3(-1) = 3.

Front

What is the value of f(-5) if f(x) = -2x - 12?

Back

f(-5) = -2(-5) - 12 = 10 - 12 = -2.

Front

What does it mean if a function is linear?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form f(x) = mx + b, where m is the slope and b is the y-intercept.