Asked by Audrey
Totally confused and have 5 more problems like this. Can someone explain each step for these questions? Thanks!
Let f(x) = e^x–2 + 3.
(a) Describe in words how the graph of f can be obtained from the graph of y = e^x.
(b) What is the domain of f?
(c) What is the range of f?
(d) What is the y-intercept? State the approximation to 2 decimal places (i.e., the nearest hundredth).
(e) What is the horizontal asymptote?
Let f(x) = e^x–2 + 3.
(a) Describe in words how the graph of f can be obtained from the graph of y = e^x.
(b) What is the domain of f?
(c) What is the range of f?
(d) What is the y-intercept? State the approximation to 2 decimal places (i.e., the nearest hundredth).
(e) What is the horizontal asymptote?
Answers
Answered by
bobpursley
The graph is exponential, with f(x) shifted upward three units, and to the right two units.
domain of f is all real values of f
range? 3 to inf
y intercept is when x is zero. e^-2 + 3
or about 1/e^2 + 3 =appx 1/6 + 3 + 3.15 check that in your calculator
domain of f is all real values of f
range? 3 to inf
y intercept is when x is zero. e^-2 + 3
or about 1/e^2 + 3 =appx 1/6 + 3 + 3.15 check that in your calculator