Mathematical Methods Q2b – Polynomial Function Graphs | VCE Units 3 & 4 Practice – StudyPulse
StudyPulse Logo
Sign Up
StudyPulse Sign up free

Mathematical Methods VCE Units 3 & 4 Practice Question 2b – Polynomial Function Graphs

Q2b Mathematical Methods Polynomial Function Graphs Unit 3 - AOS 1

Consider a polynomial function $p(x)$ with real coefficients. The graph of $y = p(x)$ has the following properties:

  • It is a cubic polynomial.
  • It has a $y$-intercept at $(0, -6)$.
  • It has $x$-intercepts at $(-1, 0)$, $(2, 0)$ and $(3, 0)$.

Question 2b

1 mark

b. Identify all the $x$-intercepts of the graph of $y = p(x)$.

Your Answer

0 words

About This Mathematical Methods Question

This is a free VCE Units 3 & 4 Mathematical Methods practice question worth 1 mark, testing your understanding of Polynomial Function Graphs. It falls under Functions, relations and graphs in Unit 3: Mathematical Methods Unit 3. Submit your answer above to receive instant AI-powered marking and personalised feedback.

Subject
Mathematical Methods – Victorian Certificate of Education Units 3 & 4
Unit 3
Mathematical Methods Unit 3
Area of Study 1
Functions, relations and graphs
Key Knowledge
Polynomial Function Graphs

Unit 3 Overview

Extend introductory study of functions, algebra, calculus. Focus on functions, relations, graphs, algebra, and applications of derivatives.

Functions, relations and graphs

Covers transformations, polynomial functions, power functions, exponential functions, logarithmic functions, circular functions, and combinations of these.

Key Knowledge Detail

graphs of polynomial functions and their key features

More questions on Polynomial Function Graphs

All free, all instant AI marking.

  1. Written 2 marks

    The graph of a polynomial function $f(x)$ has a single $x$-intercept at $x = 3$ and a $y$-intercept at $y = -9$. State a possible equation f…
  2. Written 5 marks

    Consider a polynomial function $P(x)$ of degree 4 with a leading coefficient of 1. The graph of $y=P(x)$ is tangent to the $x$-axis at $x=1$…
  3. Written 5 marks

    A polynomial function $f(x)$ has the following properties: * It is a cubic function. * It has a local maximum at $(1, 4)$. * It has a $y$-in…

Want more Mathematical Methods practice questions?

StudyPulse has thousands of VCE Mathematical Methods questions with full AI feedback, mark breakdowns, progress tracking, and study notes across every Key Knowledge point including Polynomial Function Graphs.

Create Free Account Browse More Mathematical Methods Topics