Function Notation and Evaluating Functions (shortened)

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols, typically in the form f(x), where f denotes the function and x is the input variable.

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.

Front

What does f(2) mean in function notation?

Back

f(2) means to substitute 2 for x in the function f(x) and calculate the result.

Front

What is the difference between two functions, (g - f)(x)?

Back

The difference (g - f)(x) is calculated by subtracting the output of function f from the output of function g for the same input x.

Front

If f(x) = 5x - 7, what is f(3)?

Back

f(3) = 5(3) - 7 = 15 - 7 = 8.

Front

What is the sum of two functions, f(x) + g(x)?

Back

The sum of two functions is found by adding their outputs for the same input x.

Front

How do you find g(2) if g(x) = 3x + 1?

Back

To find g(2), substitute 2 into the function: g(2) = 3(2) + 1 = 6 + 1 = 7.

Front

What is the process to find f(x) + g(x) when given two functions?

Back

To find f(x) + g(x), add the expressions of f(x) and g(x) together.

Front

If f(x) = 2x^2 + 5x - 3, how do you evaluate f(-1)?

Back

To evaluate f(-1), substitute -1 into the function: f(-1) = 2(-1)^2 + 5(-1) - 3 = 2(1) - 5 - 3 = 2 - 5 - 3 = -6.

Front

What does it mean to evaluate a function?

Back

Evaluating a function means calculating the output of the function for a given input.