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.
Constructing a Box A box can be formed by cutting
a square out of each corner of a piece of tin and folding the sides up. Suppose the piece of tin is 18 inches
by 18 inches and each side of the square that is cut
out has length x.
a. Write an expression for the height of the box that
is constructed.
b. Write an expression for the dimensions of the base
of the box that is constructed.
c. Use the formula V = lwh to find an equation that
represents the volume of the box.
d. Use the equation that you constructed to find the
values of x that make V = 0.
e. For which of these values of x does a box exist if
squares of length x are cut out and the sides are
folded up?
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