Math 4 Unit 2 Functions Test Class 3A

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

Define composite functions.

Back

Composite functions are formed when one function is applied to the result of another function, denoted as (f ∘ g)(x) = f(g(x)).

Front

Evaluate the composite function (fg)(x) for f(x) = x + 2 and g(x) = x^2 + 2x - 1.

Back

(fg)(x) = f(g(x)) = f(x^2 + 2x - 1) = (x^2 + 2x - 1) + 2 = x^2 + 2x + 1 = x^2 + 2x + 1.

Front

What is the quadratic regression equation?

Back

The quadratic regression equation is a model that describes the relationship between a dependent variable and an independent variable using a quadratic function, typically in the form y = ax^2 + bx + c.

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the value of the variable into the function's equation and simplify.

Front

What is the difference between f(x) and g(x)?

Back

f(x) and g(x) are two different functions that can have different rules or equations governing their outputs based on the same input x.

Front

Calculate g(3) if g(x) = x^2.

Back

g(3) = 3^2 = 9.

Front

What is correlation in statistics?

Back

Correlation measures the strength and direction of a linear relationship between two variables, ranging from -1 (perfect negative correlation) to +1 (perfect positive correlation).

Front

What does a negative correlation indicate?

Back

A negative correlation indicates that as one variable increases, the other variable tends to decrease.

Front

What does a positive correlation indicate?

Back

A positive correlation indicates that as one variable increases, the other variable also tends to increase.