Use transformations of the graph of f(x)-e* to graph the given function. Be sure

Question

Use transformations of the graph of f(x)-e* to graph the given function. Be sure to give the equation of the asymptote. Use the graph to determine the function's domain and range. 12 Graph h(x) and its asymptote. Graph the asymptote as a dashed line. Use the graphing tool to graph the function. 15-10 .ti Click to enlarge graph 16 12 What equation represents the asymptote of h(x)3X - 5 (Type an equation.) What is the domain of h(x) = e 3x-5? Type your answer in interval notation.) What is the range of h(x)-3*-5

Explanation / Answer

f(x)=ex

h(x)=e3x-5

There is a horizontal stretch by 3 units because of 3 in the exponent . And because of 5 , the graph will shift 5 units down .

Blue is the graph of h(x) =e3x-5

Domain of h(x)

There is no restriction on x . THerefore domain is (-infinity,infinity)

Range

From the graph, we can say that there is a horizontal asymptote at x=-5. SO range is (-5, infinity)

Related Questions

Navigate

• Browse (All)
• Browse U
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.