Question

For each function, do the following: a) state the name of the function, b) identify the independent and dependent variable, c) identify the rule that assigns exactly one output to the very input, and d) evaluate the function for the given input value.

Answer 1

Given in the question the equation

y = x² - 2x + 6

Name

a quadratic polynomial or a polynomial of degree 2

Ind. var

An input value of function is the independent value = x

Dep. var

The output value of function is the dependent value, as it depends on the value of the input = y

Rule

a function is a rule that assigns to each input exactly one output.

Evaluation

when x = -3

y = (-3)² - 2(-3) + 6

= 21