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ohaa [14]
4 years ago
9

The function f(x) = 2(3.5)x is reflected across the x-axis to create g(x).

Mathematics
2 answers:
Wittaler [7]4 years ago
7 0

Answer:

Given the function f(x)= 2 (3.5)^x is reflected across the x-axis to create g(x).

The rule of reflection across x- axis is:  (x,y) \rightarrow (x , -y)

then;

f(x)=y = 2 (3.5)^x

using the rule of reflection across x-axis;

-y =2 (3.5)^x}  or  y= -2 (3.5)^x}

therefore, the function g(x) = -2 (3.5)^x}

Since, this g(x) is an exponential function it is of the form of ab^x where a is the initial value.

On comparing we get ;

The initial value of g(x) is -2.

Now, to find the output for inputs of -1 and 1 in g(x);

At x = -1

g(-1) =-2(3.5)^{-1} =-2 \cdot \frac{1}{3.5} = \frac{-20}{35} = - 0.572  and

at x = 1

g(1) =-2(3.5)^1 = -2 \cdot 3.5 = -7


Lapatulllka [165]4 years ago
3 0

g(x)=-2 (3.5)x

the initial value is -2

g(-1)=-0.57

g(1)=-7


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