Question

Graph the function and label Zeros, Intersections, Vertices,and Asymptotes as appropriate. The function is f(x)= -2^x

Answer 1

Do you know what zeroes, intersections, vertices, and asymptotes are?

Answer 2

Honestly not really I'm sorry

Answer 3

That's fine, I just needed to know so I know how much to explain :)

Alright, a zero is when y = 0, or f(x) = 0. There shouldn't be an intersection if there's only one function. Since the function is just a single curve, there also shouldn't be a vertex. There is an asymptote at f(x) = 0. Since the asymptote is at y = 0, there are no zeroes of this function. An asymptote is a point, in this case f(x)=0, where the graph will never actually reach.

Answer 4

Oh Ok Thanks!!! Really helped alot! Can you help me with one more?

Answer 5

Please?

Answer 6

Sure

Answer 7

Alright so its the same question but the function is different. The function is f(x)= In(x+2)

Answer 8

Alright, so it's similar. For these it's easy to look at a graph of the equation so I attached one here.

Answer 9

so would an Asymptote be -2?

Answer 10

Yep!

Answer 11

Yes!! So what are the Vertices and zeros?

Answer 12

There aren't vertices in graphs that have no minimum or maximum. To find the zeroes you can set f(x)=0 and solve.

Answer 13

so you would set In(x+2)=0?

Answer 14

@akeith15 What do the zeros end up being?

Answer 15

Yes, you would set ln(x+2)=0 then solve.

Answer 16

x=-1

Answer 17

I knew it!! Thanks again for the help!!