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

a. domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5
b. domain: {x | x > 5}; range: {y | y is a real number}; asymptote: y = 5
c. domain: {x | x > –5}; range: {y | y is a real number}; asymptote: y = –5
d. domain: {x | x is a real number}; range: {y | y > –5}; asymptote: y = –5

A.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.

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step-by-step explanation:

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