Unit 6 Test Review

Front

What is the output of h(x) if h(x) = {5, 10, 15, 20, 25}?

Back

The output values of h(x) are 5, 10, 15, 20, 25.

Front

Given g(x) = -3x and f(x) = x² + 2, what is g(f(x))?

Back

g(f(x)) = -3(x² + 2) = -3x² - 6.

Front

If f(x) = 3x + 10 and g(x) = x - 2, what is f(g(5))?

Back

f(g(5)) = f(5 - 2) = f(3) = 3(3) + 10 = 19.

Front

What is the composition of functions (f ° g)(x) if f(x) = x - 5 and g(x) = 3x² - 1?

Back

(f ° g)(x) = f(g(x)) = f(3x² - 1) = (3x² - 1) - 5 = 3x² - 6.

Front

What is the missing value in the function if the answer is -3?

Back

The missing value is -3.

Front

Define function composition.

Back

Function composition is the process of applying one function to the results of another function, denoted as (f ° g)(x) = f(g(x)).

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input from its domain.

Front

What does it mean for a function to be quadratic?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax² + bx + c.

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is f(x) = ax² + bx + c, where a, b, and c are constants.

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola represented by the quadratic function.