Warm up-Function notation

Front

What is function notation?

Back

Function notation is a way to denote a function using symbols, typically written as f(x), where 'f' is the name of the function and 'x' is the input variable.

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 input variable into the function's expression and simplify.

Front

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

Back

f(-2) = 7.

Front

How do you find the value of g(x) = 3/4 x + 10 at x = -12?

Back

Substitute -12 into the function: g(-12) = 3/4(-12) + 10 = 1.

Front

What is the output of the function f(x) = 5 - x^2 when x = 3?

Back

f(3) = -4.

Front

How do you evaluate f(x) = 2x^2 + 5x - 17 at x = -1?

Back

Substitute -1 into the function: f(-1) = 2(-1)^2 + 5(-1) - 17 = -20.

Front

What is the result of f(x) = x^2 - 7x when x = 8?

Back

f(8) = 8.

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.

Front

What does the 'a' coefficient in a quadratic function determine?

Back

The 'a' coefficient determines the direction of the parabola (upward if a > 0, downward if a < 0) and its width.

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola, depending on the direction it opens.