Answer:
<em>Y = -4/3</em>
Step-by-step explanation:
Subtract 1 from -1/3.
Y = -1/3 - 1
Y = -1/3 - 3/3
Y = -4/3
To simplify the function, we need to know some basic identities involving exponents.
1. b^(ax)=(b^x)^a=(b^a)^x
2. b^(x/d) = (b^x)^(1/d) = ((b^(1/d)^x)
Now simplify f(x), where
f(x)=(1/3)*(81)^(3*x/4)
=(1/3)(3^4)^(3*x/4) [ 81=3^4 ]
=(1/3)(3^(4*3*x/4) [ rule 1 above ]
=(1/3) (3^(3*x)
=(1/3)(3^(3x)) [ or (1/3)(27^x), by rule 1 ]
(A) Initial value is the value of the function when x=0, i.e.
initial value
= f(0)
=(1/3)(3^(3x))
=(1/3)(3^(3*0))
=(1/3)(3^0)
=(1/3)(1)
=1/3
(B) the simplified base base is 3 (or 27 if the other form is used)
(C) The domain for an exponential function is all real values ( - ∞ , + ∞ ).
(D) The range of an exponential function with a positive coefficient and without vertical shift is ( 0, + ∞ ).
A number (we will call X) times 8 Is 8x
Answer:
B. 0.5 and 0.2
C 2 and 3.2
Step-by-step explanation:
because anything lesser than the standard value of one is smaller.
because anything over the standard value of one is larger.
Y=40x since y intercept is 0 and slope is 40
