Lesson 5.3 - Evaluating Functions with Expressions - Review

Front

What is the definition of a function in mathematics?

Back

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

Front

What does it mean to evaluate a function?

Back

To evaluate a function means to calculate the output of the function for a given input.

Front

How do you evaluate a function at a specific point, such as f(a)?

Back

To evaluate f(a), substitute 'a' into the function's expression and simplify.

Front

What is the process to find f(x + c) for a function f(x)?

Back

To find f(x + c), substitute (x + c) into the function's expression and simplify.

Front

What is the significance of the expression f(x) = mx + b in linear functions?

Back

This expression represents a linear function where 'm' is the slope and 'b' is the y-intercept.

Front

How do you find the value of h(x) - k for a function h(x)?

Back

To find h(x) - k, first evaluate h(x) and then subtract 'k' from that result.

Front

What is the formula for a linear function?

Back

The formula for a linear function is f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean to find g(2x) for a function g(x)?

Back

Finding g(2x) means substituting '2x' into the function g and simplifying the result.

Front

How do you evaluate a function at a negative input, such as f(-x)?

Back

To evaluate f(-x), substitute '-x' into the function's expression and simplify.

Front

What is the output of a function when the input is zero, f(0)?

Back

The output f(0) is the value of the function when the input is zero, calculated by substituting 0 into the function.