Problemas
1a. Graph f(x)=2^x+1 . Label three points. x & y & & & a Domain b Range c Asymptote:
Roztwór
Ricardo
maestro · Tutor durante 5 años
4.2
(306 Votos)
Respuesta
To graph \( f(x) = 2^x + 1 \), we can choose three points by substituting different values of
:1. When
:
So, one point is \((-1, 1.5)\).2. When
:
So, another point is \((0, 2)\).3. When
:
So, the third point is \((1, 3)\).These points are:
a. Domain: The domain of \( f(x) = 2^x + 1 \) is all real numbers.
b. Range: Since
is always positive and adding 1 shifts it up by 1 unit, the range is all values greater than 1.
c. Asymptote: The horizontal asymptote is the line that the function approaches as
goes to negative infinity. For \( f(x) = 2^x + 1 \), the horizontal asymptote is
.