Function Notation and Evaluating Functions

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 the input variable in parentheses, such as f(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 in place of the variable. For example, to evaluate f(x) = 2x + 3 at x = 4, calculate f(4) = 2(4) + 3 = 11.

Front

What does f(0) represent in function notation?

Back

f(0) represents the value of the function when the input is 0. It is often used to find the y-intercept of the function's graph.

Front

If f(x) = 4x + 5, what is f(4)?

Back

f(4) = 4(4) + 5 = 16 + 5 = 21.

Front

For the function f(x) = -3x + 3, what is f(0)?

Back

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

Front

Evaluate h(2) if h(x) = -5x + 7.

Back

h(2) = -5(2) + 7 = -10 + 7 = -3.

Front

Given h(x) = 5 - 9x, find h(8).

Back

h(8) = 5 - 9(8) = 5 - 72 = -67.

Front

What is the general form of a quadratic function?

Back

The general form of a quadratic function is f(x) = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

Front

Evaluate f(-1) if f(x) = 2x^2 + 5x - 3.

Back

f(-1) = 2(-1)^2 + 5(-1) - 3 = 2(1) - 5 - 3 = 2 - 5 - 3 = -6.

Front

What is the y-intercept of a function?

Back

The y-intercept of a function is the point where the graph of the function crosses the y-axis, which occurs when x = 0.