Evaluating Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What does it mean to evaluate a function?

Back

To evaluate a function means to find the output value when a specific input value is substituted into the function.

Front

If f(x) = 2x + 1, what is f(3)?

Back

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

Front

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

Back

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

Front

How do you find f(x) for a given x?

Back

Substitute the value of x into the function's equation and simplify.

Front

What is the value of g(x) = 2x + 5 when x = 4?

Back

g(4) = 2(4) + 5 = 13.

Front

What is the order of operations in evaluating functions?

Back

The order of operations is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right) - often abbreviated as PEMDAS.

Front

If h(x) = x^3 - 2, what is h(4)?

Back

h(4) = 4^3 - 2 = 64 - 2 = 62.

Front

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

Back

f(2) = 2(3^2) + 1 = 2(9) + 1 = 18 + 1 = 19.

Front

What does it mean for a function to be linear?

Back

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