Graph the function. 4) f(x) = x+4 if x<1 1-1 if x 2 1 -5
Transformation of Graphs
The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.
Exponential Functions
The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.
![Graph the function.
4) f(x) = Jx + 4 if x<1
if x 2 1
f(x + h) - f(x)
Find and simplify the difference quotient-
h 0 for the given function.
h
5) f(x) = 8x - 3
5)
Solve.
6) A faucet is used to add water to a large bottle that already contained some water. After it
has been filling for 5 seconds, the gauge on the bottle indicates that it contains 12 ounces of
water. After it has been filling for 12 seconds, the gauge indicates the bottle contains 26
ounces of water. Let y be the amount of water in the bottle x seconds after the faucet was
turned on. Write a linear equation that models the amount of water in the bottle in terms
6)
of x.
A-2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F223beaca-0018-4f71-97b4-9e3a4c2086b0%2Fa88d0c3e-79f6-4b37-9f4a-387aa4e90508%2Fmxq2kca_processed.jpeg&w=3840&q=75)
![Exam 2
Math 103, Blitzer
Name
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Does the graph represent a function? If it is a function, is it 1-1?
1)
1)
Determine whether the equation defines y as a function of x.
2)
2) x = y2 - 6
Use the graph to determine the function's domain and range. Also, give intervals where the function is changing
(increasing, decreasing, or consant.)
3)
3)
A-1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F223beaca-0018-4f71-97b4-9e3a4c2086b0%2Fa88d0c3e-79f6-4b37-9f4a-387aa4e90508%2Foe5lel_processed.jpeg&w=3840&q=75)
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We’ll answer the 4th question since the exact one wasn’t specified. Please submit a new question specifying the one you’d like answered.
Given function is
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