Evaluating Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input from a set of inputs.

Front

What does f(x) represent in a function?

Back

f(x) represents the output of the function f for a given input 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

What does it mean if f(a) = b?

Back

It means that when the input is a, the output of the function is b.

Front

What is the significance of the x-value in a function?

Back

The x-value is the input for which the function is evaluated, determining the corresponding output.

Front

What is the meaning of p(8) = 52 in the context of the function p(x) = 5x + 12?

Back

It means that after 8 days, Ms. Brackemyer has collected a total of 52 pencils.

Front

How do you find the x-value when given f(x)?

Back

To find the x-value when given f(x), set the function equal to the desired output and solve for x.

Front

What is the output of the function f(x) = 3x + 1 when x = 2?

Back

f(2) = 3(2) + 1 = 7.

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.

Front

What is the slope in the function p(x) = 5x + 12?

Back

The slope is 5, indicating that for each additional day, the number of pencils increases by 5.