## Calculus: Early Transcendentals 8th Edition

$y=g(x)$ is the graph of $y=\sin x$ flipped about the x-axis and shifted upwards by 1 unit. Since $y=\sin x$ is periodic, it has the same y-value for different x-values. $\therefore y=g(x)$ also has the same y-value for different x-values and is not a function.