Question

For the function f(x)=(1/2)⋅6^x , identify the domain, range, y-intercept, and asymptote.

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Answer 1

Domain: all real numbers

Range: f(x) > 0

Intercept: (0, 0.5)

Asymptote: y = 0

Explanation:

Answer 2

Explanation:

f(x) = (1/2) *6^x = 2^-1 * 2^x *3^x

y= 2^ (x-1) * 3^x

Domain represents all values that x can have and is all real numbers

Range all values that y can have and is y > 0 ( all real numbers that are positive)

The y-intercept is the point where the graph intersects the y-axis so x=0 there

y = 2^(0-1) *3^0 = 1/2 *1 = 1/2

the asymptote is at y= 0