f(x)=-4^{x}+2. select the correct drawing tool from below the coordinate plane, then mark the asymptote…

Explanation:

Step1: Find the asymptote

For an exponential - function of the form $y = a\cdot b^{x}+c$, the horizontal asymptote is $y = c$. In the function $f(x)=-4^{x}+2$, $a=-1$, $b = 4$, and $c = 2$. So the horizontal asymptote is $y = 2$.

Step2: Find points on the function

When $x = 0$: $f(0)=-4^{0}+2=-1 + 2=1$. So the point is $(0,1)$. When $x = 1$: $f(1)=-4^{1}+2=-4 + 2=-2$. So the point is $(1,-2)$.

Answer:

Asymptote: $y = 2$. Points: $(0,1)$ and $(1,-2)$