the function f(x)= a^x-4 will never cross the x-axis. TRUE or FALSE

Question

anonymous · Answer

i  pick false ---- am i correct???

anonymous · Answer

because if you replace A with a negative number it wont cross the x-axis

anonymous · Answer

@ganeshie8 mind checking if my answer is correct?

anonymous · Answer

BUT if you replace it with a positive number it WILL cross the x axis

anonymous · Answer

i graphed them

ganeshie8 · Answer

a^x-4   or  a^(x-4)

?

anonymous · Answer

a^(x) + 4 first one

anonymous · Answer

attachment

ganeshie8 · Answer

$\large     a^{x}-4$ 

like this ?

anonymous · Answer

yes n_n

anonymous · Answer

thats the question

ganeshie8 · Answer

You're absolutely correct ! Fantastic work !!

anonymous · Answer

thank you yay i always like being checked cuz you never know hahah thank you again n_n @ganeshie8

ganeshie8 · Answer

np :) btw just an observation   

the given equation is $\large   y = a^x-4$

so the 3rd graph and last two graphs you have plotted don't fit the above equation ^

anonymous · Answer

ohhhh really .....

ganeshie8 · Answer

there is no coefficient for $\large  a^x$, So we can never attach a negative sign to it

anonymous · Answer

ohhhh ok n_n then

ganeshie8 · Answer

$\large    y = a^x$  is defined only for $a >  0$

anonymous · Answer

ohh ok ill keep this mind thank you

ganeshie8 · Answer

np, you're welcome :)