4. sketch a graph of a continuous even function that passes through the points (5,1) and (-2,-3).
4. sketch a graph of a continuous even function that passes through the points (5,1) and (-2,-3).
Answer
Explanation:
Step1: Recall property of even function
An even function has $f(x)=f(-x)$, so if the function passes through $(5,1)$ it also passes through $(-5,1)$ and if it passes through $(-2, - 3)$ it also passes through $(2,-3)$.
Step2: Sketch the graph
Plot the points $(5,1),(-5,1),(2,-3),(-2,-3)$ on the given grid. Then, draw a smooth continuous curve that is symmetric about the y - axis connecting these points and extending in a smooth way on both sides.
Answer:
A smooth continuous curve symmetric about the y - axis passing through $(5,1),(-5,1),(2,-3),(-2,-3)$ is the required graph.