Describe the graphs of the functions f(x) = 2x + 1 and g(x) = -2x + 1. Compare and contrast the domain and range of f(x) and g(x).

Question

anonymous · Answer

@SolomonZelman

solomonzelman · Answer

$\color{#000000 }{ \displaystyle f(x) }$  and  $\color{#000000 }{ \displaystyle -f(x) }$
are reflections of each other across the x-axis.

solomonzelman · Answer

Therefore,		$\color{#000000 }{ \displaystyle f(x)=2x }$
			$\color{#000000 }{ \displaystyle g(x)=-2x }$

Are reflections of each other across the x-axis.

solomonzelman · Answer

And so would be	$\color{#000000 }{ \displaystyle f(x)=2x+1 }$
				$\color{#000000 }{ \displaystyle g(x)=-2x-1 }$

reflections of each other across the x-axis.

solomonzelman · Answer

$\color{#000000 }{ \displaystyle g(x)=-2x+1=(-2x-1)+2 }$

solomonzelman · Answer

So you can tell that $\color{#000000 }{ \displaystyle g(x) }$ is a reflection
across the x-axis of the $\color{#000000 }{ \displaystyle f(x) }$, and then
$\color{#000000 }{ \displaystyle g(x) }$ is shifted by .... (you should tell me this)

anonymous · Answer

f(x)?

anonymous · Answer

@SolomonZelman