In Problems 1 -6, a graph of y = f ( x ) is shown and a c -value is given. For each problem, use the graph to find the following, whenever they exist. (a) lim x → c f ( x ) and (b) f ( c ) c = 4
In Problems 1 -6, a graph of y = f ( x ) is shown and a c -value is given. For each problem, use the graph to find the following, whenever they exist. (a) lim x → c f ( x ) and (b) f ( c ) c = 4
Solution Summary: The author explains the value of undersetxto cmathrmlimf(x)) by the use of the graph.
The graph below is the function f (x)
-5 -4 -3 -2
-1
+-+
-3
-4
-S
lim f(x) =
x-3-
lim f(x) =
x-3
f(3) =
lim f(x) =
x 3+
5
4
3
2
+
Determine the following values. Enter "DNE" if a value does not exist, enter "oo" (lower case "o") if the
limit approaches positive infinity, or "-oo" if the limit approaches negative infinity.
Ā
2.
Determine if the function is continuous or discontinuous at the limit value. If it is discontinuous,
indicate if the discontinuity is removable or non-removable.
O The function is continuous at x = 3
O The function has a removable discontinuity at x = 3
O The function has a non-removable discontinuity at x = 3
If the function has a discontinuity at the limit value, check all the boxes that indicate why the function
is discontinuous there.
1. Given f(x) = 2* and g(x) = 3*,
a. complete the table of values
-4
-3
-2
-1
1
3
4
f(x) = 2*
g(x) = 3*
b. Sketch the graphs in one coordinate plane
c. Identify the domain, range, y-intercept, and horizontal asymptote of
each function.
2. The population of Brgy. Sta. Isabel starts with 1,000 individuals and
triples every 50 years.
(a) Give an exponential model for the situation.
(b) What is the size of the population after 100 years?
3. Ms. Lara invested Php100,000 in a bank with an interest rate of 3%
compounded annually.
(a) Give an exponential model for the situation
(b) What is the amount of her investment after 15 years?
C. True or False.
1. f(x) = 3x? is an exponential function
2. Íf f(x) = 5*, then f(-1) = -5
3. The function f(x) = 1* is an exponential function.
4. The function f(x) = (-3)* is an exponential function.
5. If x = 0, then the function f(x) = b* is equal to 1.
Suppose the point (0, 6) is on the graph of f(x) =
-x+1, then the value of b is
Chapter 9 Solutions
WebAssign Printed Access Card for Harshbarger/Reynolds' Mathematical Applications for the Management, Life, and Social Sciences, 12th Edition, Multi-Term
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