Let f(x) = ex. For the function g, find A satisfying g(x) = f(Ax), and describe how the graph of f is transformed to be identical to the graph of g. g(x) =
x
A. A = ln ; Transform the graph of f by a horizontal scale transformation with factor
=
.
B. A = ln 4; Transform the graph of f by a horizontal scale transformation with factor A = ln 4.
C. A = ln 4; Transform the graph of f by a horizontal scale transformation with factor =
.
D. A = ln ; Transform the graph of f by a horizontal scale transformation with factor A = ln
.
Answer: A
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Find the percent of change and state whether it is a percent increase or a percent decrease. A university built a parking garage that changed the school’s number of parking spaces from 8,470 spaces to 12,100 spaces. Find the percent of change in the number of parking spaces.
A. 143 increase B. 143 decrease C. 30 increase D. 30 decrease
Solve.In 1996, an outbreak of a disease infected 11 people in a large community. By 1997, the number of those infected had grown to 35. Find an exponential growth function that fits the data. (Round decimals to three places.)
A. N(t) = 11e1.157t, where t is the number of years after 1997. B. N(t) = 11e11.57t, where t is the number of years after 1996. C. N(t) = 11e11.57t, where t is the number of years after 1997. D. N(t) = 11e1.157t, where t is the number of years after 1996.
Write the fraction in simplest form.
A.
B.
C.
D. 10x2y2
Match the system of inequalities with a graph.x - y < 3,x + y < 6
A.
B.
C.
D.