INT 3.1 Final Guide

Front

What is Attend to Precision in mathematics?

Back

Attend to Precision refers to the practice of being exact in calculations and measurements. For example, baking a cake for exactly 45 minutes.

Front

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

Back

The equation of p is p(x) = x(2x + 5)(x - 4).

Front

How does the graph of y = h(x + 4) relate to y = h(x)?

Back

The graph of y = h(x + 4) is a horizontal shift of the graph of y = h(x) to the left by 4 units.

Front

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

Back

The equation of p is p(x) = x^2(2x - 5)(x + 2).

Front

What are the zeros of the function f(x) = (x - 3)(x + 2)(x + 4)(x - 1)(2x - 9)?

Back

The zeros of the function are x = -4, x = -2, x = 1, x = 3, and x = 4.5.

Front

What does it mean if a function is sometimes positive and sometimes negative?

Back

It means that the function takes on both positive and negative values within a certain interval.

Front

What is the significance of the zeros of a polynomial function?

Back

The zeros of a polynomial function are the x-values where the function intersects the x-axis, indicating the values for which the function equals zero.

Front

What is the concept of a horizontal shift in graph transformations?

Back

A horizontal shift involves moving the graph left or right along the x-axis, affecting the x-values of the function.

Front

What is the definition of a polynomial function?

Back

A polynomial function is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients.

Front

What is the role of coefficients in polynomial equations?

Back

Coefficients are the numerical factors that multiply the variables in a polynomial, determining the shape and position of the graph.