Find:
1) Domain
2) Range
3) Exponential growth or decay
4) Horizontal asymptote
Problem 1 :
f(x) = 3x
Problem 2 :
f(x) = -(3x)
Problem 3 :
f(x) = 3-x
Problem 4 :
f(x) = (1/3)x
Problem 5 :
f(x) = 2x - 3
Problem 6 :
f(x) = 2x-3
Problem 7 :
f(x) = 2x+5 - 5
Problem 8 :
f(x) = -2-x
Problem 9 :
f(x) = -2x+3 + 1
Problem 10 :
f(x) = (1/2)x-3 - 4
1) f(x) = 3x
Domain:
The domain is all real number.
(-∞, ∞)
Range:
The range is all positive real numbers.
(0, ∞)
Exponential growth or decay:
exponential growth function.
Horizontal asymptote:
y = 0
2) f(x) = -(3x)
Domain:
The domain is all real number.
(-∞, ∞)
Range:
The range is all negative real numbers.
(-∞, 0)
Exponential growth or decay:
it is reflection.
Horizontal asymptote:
y = 0
3) f(x) = 3-x
Domain:
The domain is all real number.
(-∞, ∞)
Range:
The range is all positive real numbers.
(0, ∞)
Exponential growth or decay:
This is an exponential decay.
Horizontal asymptote:
y = 0
4) f(x) = (1/3)x
Domain:
The domain is all real number.
(-∞, ∞)
Range:
The range is all positive real numbers.
(0, ∞)
Exponential growth or decay:
This is an exponential decay function.
Horizontal asymptote:
y = 0
5) f(x) = 2x - 3
Domain:
The domain is all real number.
(-∞, ∞)
Range:
(-3, ∞)
Exponential growth or decay:
This is exponential growth function.
Horizontal asymptote:
y = -3
6) f(x) = 2x-3
Domain:
The domain is all real number.
(-∞, ∞)
Range:
(0, ∞)
Exponential growth or decay:
This is an exponential growth function.
Horizontal asymptote:
y = 0
7) f(x) = 2x+5 - 5
Domain:
The domain is all real number.
(-∞, ∞)
Range:
(-5, ∞)
Exponential growth or decay:
This is an exponential growth function.
Horizontal asymptote:
y = -5
8) f(x) = -2-x
Domain:
The domain is all real number.
(-∞, ∞)
Range:
(-∞, 0)
Exponential growth or decay:
This is an exponential growth function.
Horizontal asymptote:
y = 0
9) f(x) = -2x+3 + 1
Domain:
The domain is all real number.
(-∞, ∞)
Range:
(-∞, 1)
Exponential growth or decay:
This is an exponential decay function.
Horizontal asymptote:
y = 1
10) f(x) = (1/2)x-3 - 4
Domain:
The domain is all real number.
(-∞, ∞)
Range:
(-4, ∞)
Exponential growth or decay:
This is an exponential decay function.
Horizontal asymptote:
y = -4
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM