Question

math problem

Answer 1

This might really help you hope this helps (https://www.desmos.com/calculator)

Answer 2

@florisalreadytaken

Answer 3

exponential form
\[y=a*b^t\]
given the point (2, 144) what do you think is the next step

Answer 4

y=2 times b^t

Answer 5

2*144^t

Answer 6

no,

Answer 7

144=a*b^2

Answer 8

(-infinity, infinity)

Answer 9

this is the same as the problems we did earlier
\( y=a(b)^x \)

1st point is \[ (2,144) \]
\[ 144=a(b)^2 \]
\[ a= \frac{144}{b^2} \]
we plug that in the original formula -- also substitute the coordinates of the 2nd point in
\[ 9= \frac{144}{b^2} \times (b)^0 \]
\[ b= ? \]

Answer 10

4

Answer 11

yeah, -4 takes no place.

Answer 12

so, we know that \( b=4 \) thus,
\[ a= \frac{144}{4^2} \]
\[ a= ?? \]

Answer 13

9

Answer 14

yes!
\[ a= 9 \]
\[ b=4 \]

by plugging that info in the original formula, we get
\[ \Large f(x)=9 \cdot 4^{x} \]