Algebra 2 Fall Final 24-25 Review #2

Front

What is the end behavior of a function as x approaches -∞?

Back

As x → -∞, y → -∞.

Front

Write a system of equations for the following situation: A library sold 376 children's books and adult books for a fundraiser. Children's books cost $4 each and adult books cost $7 each. They made a total of $2119. How many adult books did they sell?

Back

Let c = number of children's books and a = number of adult books. 1. c + a = 376 2. 4c + 7a = 2119 Solution: 205 adult books.

Front

Find f(0) if f(x) = -3x + 7.

Back

f(0) = 4.

Front

What is i raised to the power of 13?

Back

i^13 = i.

Front

Given f(x) = -3x + 7 and g(x) = 2x^2 - 8, find g(a + 1).

Back

g(a + 1) = 2a^2 + 4a - 6.

Front

What is the definition of a polynomial function?

Back

A polynomial function is a function that can be expressed in the form f(x) = a_nx^n + a_(n-1)x^(n-1) + ... + a_1x + a_0, where a_n, a_(n-1), ..., a_0 are constants and n is a non-negative integer.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation ax² + bx + c = 0.

Front

Define the term 'discriminant' in the context of quadratic equations.

Back

The discriminant is the expression b² - 4ac in the quadratic formula, which determines the nature of the roots of the equation.

Front

What does it mean for a function to be even?

Back

A function f(x) is even if f(-x) = f(x) for all x in the domain of f.

Front

What does it mean for a function to be odd?

Back

A function f(x) is odd if f(-x) = -f(x) for all x in the domain of f.