Function Notation & Zeros of Functions

Front

What is function notation?

Back

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

Front

What does it mean for a function to have zeros?

Back

Zeros of a function are the values of x for which the function's output is zero, meaning f(x) = 0.

Front

How do you find the x-intercepts of a function?

Back

To find the x-intercepts, set the function equal to zero and solve for x.

Front

What is the x-intercept of the function f(x) = (x - 4)(x) ?

Back

The x-intercepts are x = 0 and x = 4.

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 and simplify.

Front

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

Back

f(-3) = (2 - 3)^2 = 1.

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically written in the form f(x) = ax^2 + bx + c.

Front

How do you calculate the zeros of a quadratic function?

Back

To calculate the zeros of a quadratic function, you can use the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a).

Front

What is the value of g(x) = 4x - 7 when x = -9?

Back

g(-9) = 4(-9) - 7 = -36 - 7 = -43.

Front

What is the slope-intercept form of a linear function?

Back

The slope-intercept form of a linear function is y = mx + b, where m is the slope and b is the y-intercept.