Question

assignment #0.2
score: 1/7 1/7 answered
question 7
find the domain, x - and y - intercepts, horizontal asymptotes of the exponential functions and sketch their
graphs:
(a) $5^{x + 8} + 7$

1. find the range:

Explanation:

Step1: Analyze base exponential term

The term $5^{x+8}$ is always positive for all real $x$, so $5^{x+8} > 0$.

Step2: Add constant to find range

Add 7 to both sides: $5^{x+8} + 7 > 0 + 7$, so $y > 7$.

Answer:

$(7, \infty)$