Question

Which graph models the function F(x)=-2(3)^x

Answer 1

Answer:

on my test it was graph A. but here are some coordinates too (-2, -0.222) ;

(-1, -0.667); (1, -6). the graph curves down and also hits point (0, -2) hope this helps :)

Step-by-step explanation:

Answer 2

Answer:

Given the function: $y= -2(3)^x$                                .....[1]

An exponential function is in the form of $y=ab^x$.

• If $a< 0$ and b <1, then the graph is increasing

• If a< 0 and b >1 , then the graph is decreasing.
• If  a> 0 and b<1, the the graph is decreasing.
• if a< 0 and b > 1. then the graph is increasing.

From the given equation [1] we have;

Here, a = -2 < 0 and b = 3 > 1.

For this function, x-intercepts doesn't exist, as it does not crosses the x-axis graph.

y-intercept states that the graph crosses the y-axis.

Substitute value of x =0 in [1] to solve for y;

$y = -2(3)^0$

y = -2

y-intercept = (0, -2)

End Behavior of the given graph :

If $x \rightarrow \infty$ , then $f(x) \rightarrow -\infty$

and

If $x \rightarrow -\infty$, then $f(x) \rightarrow 0$

Also, You can see the graph as shown below in the attachment.