Function Notation and Substitution

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols. It typically uses letters like f, g, or h followed by parentheses containing the variable, e.g., f(x).

Front

What does f(x) represent in function notation?

Back

f(x) represents the output of the function f when the input is x.

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 and simplify.

Front

What is substitution in mathematics?

Back

Substitution is the process of replacing a variable in an expression or equation with a specific value.

Front

If f(x) = 2x + 3, what is f(2)?

Back

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

Front

What is the value of f(0) if f(x) = x^2 + 1?

Back

f(0) = 0^2 + 1 = 0 + 1 = 1.

Front

If a = 5 and b = 2, what is 4a + 3b?

Back

4a + 3b = 4(5) + 3(2) = 20 + 6 = 26.

Front

What is the output of f(x) = -x + 4 when x = 3?

Back

f(3) = -3 + 4 = 1.

Front

If y = 10, what is the value of 3(y - 2)?

Back

3(y - 2) = 3(10 - 2) = 3(8) = 24.

Front

What does it mean to evaluate f(-2) for f(x) = x^2 + 3?

Back

It means to substitute -2 into the function: f(-2) = (-2)^2 + 3 = 4 + 3 = 7.