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Ratling [72]
3 years ago
7

Graph the exponential function. Y=5(2)^x

Mathematics
2 answers:
Nadusha1986 [10]3 years ago
6 0
Y=5(2^x)
It Would be the first graph of the choices.
Hope this helps!
HACTEHA [7]3 years ago
4 0

Answer:

Option A is correct.

Explanation:

Exponential function: The function is given by : y = ab^x .....[1];

where a≠0 is the initial value and base b>0 , b≠1 and x is any real number.

Given: The exponential function: y =5 (2)^x              ......[2]

On comparing  above with  equation [1] we have,

a =5 and b = 2>1

Since, the domain is all Real numbers and the range is all positive real numbers except 0.

To find y-intercept;

Substitute x = 0 to solve for y;

Substitute in [2] we get;

y= 5(2)^0 = 5\cdot 1 = 5     [Remember any number to the zero power is 1 ].

Therefore, the  graph has a y-intercept at (0,5).

*If b > 1, then, the  graph increases.

or

we can say that the greater the base, b the faster the graph rises from left to right

and  

If 0<b<1 , then the graph decreases.

Therefore, the given exponential function graph  increases because b = 2>1 .

End behavior of the given function y =5(2)^x ;

As x \rightarrow +\infty then, y \rightarrow +\infty

And for x \rightarrow -\infty then, y \rightarrow 0



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