Question

If this is the graph of , f(x)=a^(x+h)+k then
A.) h>0 and k<0
B.) h<0 and k<0
C.) h<0 and k>0
D.) h>0 and k>0

Answer 1

hint: when f(x) = 0, x = -5

Answer 2

i thought it was 0=1if it was an exponent?

Answer 3

a^(x + h) will be 1 if (x +h) = 0

Answer 4

oh ok i understand so we have to have what ever we plug into the equation to equal zero?

Answer 5

yes so if a^(x +h) = 1 k will need to be -1 to make f(x) = 0

Answer 6

ok so if it is negative -1 then k>0 ?

Answer 7

right - and what about h ?

Answer 8

no k < 0

Answer 9

-1 < 0

Answer 10

oh ok so that takes out c and d

Answer 11

is it 1?

Answer 12

yes h needs to be 5 if x = -5

Answer 13

is it B because both are negative?

Answer 14

no think about it k < 0 =we've established that
x + h must be 0 and x = -5 so what must h be?

Answer 15

5

Answer 16

right

so whats the correct option?

Answer 17

a

Answer 18

yes
n>0 and k<0

Answer 19

thank you :D and can you help me find the domain and range?

Answer 20

ill tag you in the next problem so you could get another medal if you want?

Answer 21

no

Answer 22

the domain i the set of possible values of x
and range is values of f(x)

Answer 23

so the infinity is in both?

Answer 24

domain is all real values of x or (-inf, +inf)

Answer 25

there are two answer choices like that what about the range?

Answer 26

range is all real values also

Answer 27

the range is either (-k,infinity) or (h,infinity)

Answer 28

thats not what it says for my answer choices :(

Answer 29

ok - what are the choices - i do get things wrong sometimes!

Answer 30

ok this might take a bit

Answer 31

A.)domain is (-inifnity,inifinity)
range is (-k,infinity)
B.)domain is (h,infinity)
range is (-inifnity,infinity)
C.) domain is (-inifnity,infinity)
and range is (h,infinity)
D.) domain is (h,infinity)
and range is (k,infinity)

Answer 32

well domain is definitely (-inf, inf)

Answer 33

do you think the +k matters for the graph?

Answer 34

i think the answer is whatever -5 represents what do you think?

Answer 35

as you see on the graph as x approaches infinity f(x) converges to a values of -4 point something so a must be negative or a fraction and a(x + n) will approach -5
yes

Answer 36

so do you think its A?

Answer 37

i mean c since the 5 was positive?

Answer 38

i guess its c since you said it represented h

Answer 39

?

Answer 40

no what makes sense is (-k,inf)

Answer 41

thank you it was the correct answer and thank you for sticking with me for this long

Answer 42

but that means the graph should converge to -1. maybe graph is drawn incorrectly

Answer 43

well it is an online quiz so most likely yes

Answer 44

yw

Answer 45

wait - i'll draw a graph on my calculator

Answer 46

yes its -k