Algebra DR Function Notation Practice

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 parentheses containing the variable, 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 and simplify.

Front

Given f(x) = 2x + 1, find f(4).

Back

f(4) = 2(4) + 1 = 9.

Front

What is the value of f(0) if f(x) = 3x^2 + 3?

Back

f(0) = 3(0)^2 + 3 = 3.

Front

If f(x) = -3x - 8, what is f(-1)?

Back

f(-1) = -3(-1) - 8 = -5.

Front

How do you find g(-2) if g(x) = (x + 3)/5?

Back

g(-2) = (-2 + 3)/5 = 1/5.

Front

What is the output of a function?

Back

The output of a function is the value that results from substituting an input into the function.

Front

What does it mean for a function to be linear?

Back

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

Front

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

Back

The slope-intercept form is f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine the y-intercept of a function?

Back

The y-intercept of a function is found by evaluating the function at x = 0.