Quartic Graph Sketching


Quartic Graph Sketching is based on their concavities and x-intercepts to determine the basic shape of the quartic graphs.

Question 1 of Quartic Graph Sketching

Sketch the graph of \( y=(x-1)(x+1)(x+2)(x-3) \).

Question 2

Sketch the graph of \( y=x(x^2-x)(x-2)(x+3) \).

\( =x(x-1)(x-2)(x+3) \)

Question 3

Sketch the graph of \( y=x^2(x-3)(x+3) \).

Question 4

Sketch the graph of \( y=(x+1)^2(x-2)^2 \).

Question 5

Sketch the graph of \( y=-(x-1)(x+2)^2(x-3) \).

Question 6

Sketch the graph of \( y=(1-x)^2(x+2)(x-3) \).

Question 7

Sketch the graph of \( y=(x-1)(x+2)(x-3)^2 \).

Question 8

Sketch the graph of \( y=(x-2)^3(x+2) \).

Algebra Algebraic Fractions Arc Binomial Expansion Capacity Chain Rule Common Difference Common Ratio Differentiation Double-Angle Formula Equation Exponent Exponential Function Factorials Factorise Functions Geometric Sequence Geometric Series Index Laws Inequality Integration Kinematics Length Conversion Logarithm Logarithmic Functions Mass Conversion Mathematical Induction Measurement Perfect Square Perimeter Prime Factorisation Probability Proof Pythagoras Theorem Quadratic Quadratic Factorise Rational Functions Sequence Sketching Graphs Surds Time Transformation Trigonometric Functions Trigonometric Properties Volume




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