Question

What are the domain, range, and asymptote of h(x) = (1.4)x + 5?

Answer 1

Answer:

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Step-by-step explanation:

Domain:{x\x is a real number }

Range:{y\y>5}

Asymptote :y=5

Step-by-step explanation:

We are given that a function

We have to find the domain, range and asymptote of h(x).

It is exponential function therefore, it is defined for all values of x.

Hence, domain  of h(x)={x| x is a real number}

Substitute x=0 then we get

(a^0=1)

Hence, range of h(x)={y|y>5}

For exponential function,

Horizontal asymptote: when  

Apply limit  

Hence, the horizontal asymptote y=5.