Function Notation

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols. It typically uses the format 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 value?

Back

To evaluate a function at a specific value, substitute the value into the function's equation and simplify.

Front

Given g(x) = 4x - 7, find g(-9).

Back

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

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

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

Back

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

Front

If f(x) = -4x - 5, what is f(1)?

Back

f(1) = -4(1) - 5 = -4 - 5 = -9.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of the function g(x) = 4x - 7?

Back

The slope of g(x) = 4x - 7 is 4.

Front

What is the y-intercept of the function g(x) = 4x - 7?

Back

The y-intercept of g(x) = 4x - 7 is -7.

Front

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

Back

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