Question

The graph of $p\left(x\right)=5x+3$, where x $\epsilon$ R is?

• A. A ray
• B. A parabola
• C. A line segment
• D. A line

Answer 1

Answer: (D)

A line

Let $y=5x+2$

$x$	$0$	$-1$	$1$	$-2$
$y$	$3$	$-2$	$8$	$-7$

After plotting these points on the graph, we get the above graph.

$P\left(x\right)=5x+3$ is a linear polynomial.

Clearly, from the figure we get a graph of a straight line.

Hence, the graph of $P\left(x\right)$ is a line.