INT 3.1 Final Guide

Front

What is the equation of p if p(x) = x ( 2x + 5 )( x - 4 )?

Back

p(x) = x ( 2x + 5 )( x - 4 )

Front

What is an example of Attend to Precision?

Back

Baking a cake for exactly 45mins.

Front

What is the equation of p if p(x) = x^2(2x - 5)(x + 2)?

Back

p(x) = x^2(2x - 5)(x + 2)

Front

What is the sign of f on the interval -2 < x < 9/2 for f(x) = (x - 3)(x + 2)(x + 4)(x - 1)(2x - 9)?

Back

f is sometimes positive and sometimes negative.

Front

What is an example of Understand and Persevere?

Back

Getting the courage to ask your crush to Homecoming.

Front

Define a polynomial function.

Back

A polynomial function is a function that can be expressed in the form p(x) = a_n*x^n + a_(n-1)*x^(n-1) + ... + a_1*x + a_0, where a_n, a_(n-1), ..., a_0 are constants and n is a non-negative integer.

Front

What are the zeros of a polynomial function?

Back

The zeros of a polynomial function are the values of x for which p(x) = 0.

Front

What does it mean for a function to be positive on an interval?

Back

A function is positive on an interval if its output values are greater than zero for all inputs in that interval.

Front

What is the significance of the leading coefficient in a polynomial?

Back

The leading coefficient determines the end behavior of the polynomial function as x approaches positive or negative infinity.

Front

What is the difference between a linear and a quadratic function?

Back

A linear function has the form f(x) = mx + b, while a quadratic function has the form f(x) = ax^2 + bx + c, where a ≠ 0.