Chapter 2: Introduction to Linear Polynomials

Exercise

Question

Question: 10 (iii)

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The graph of a linear polynomial p(x) passes through the points (1, 5) and (3, 11).

(iii) Draw the graph of p(x) and verify your answers.

Answer

1
Use the polynomial found in the previous question.
$p(x) = 3x + 2$
2
Plot the given points (1, 5) and (3, 11) on the graph of p(x) = 3x + 2 and draw the straight line through them.
Graph of the linear polynomial p(x) = 3x + 2.
Answer: Graph of the linear polynomial p(x) = 3x + 2
3
Verify that the graph passes through the y-intercept and x-intercept found in the previous question.
\textbf{Answer: The graph of $p(x) = 3x + 2$ passes through $(0, 2)$ and $(-\dfrac{2}{3}, 0)$, verifying the answers from the previous question.}
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