Answer:
y=20(6)^x
Step-by-step explanation:
hello :
the graph passes through the point (0,20) : when x=0 and y=20 :
20= ab^0 so a=20 because : b^0 = 1
the graph passes through the point (3,4320) : when x=3. and y=4320 : 4320= ab^3 but : a=20 so : 4320 = 20b^3
so : b^3 = 4320/20 = 216...... 216 = 6^3
b^3 = 6^3
b=6
the function is : y=20(6)^x
The function is y=20(6)^x.
An exponential function is defined by the formula f(x) = ax, where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x
How to write an exponential function in the form y=ab^xy = abx
that goes through points (0, 20)(0,20) and (3, 4320)(3,4320).
The graph passes through the point (0,20) : when x=0 and y=20 :
20= ab^0 so a=20 because : b^0 = 1
the graph passes through the point (3,4320) : when x=3. and y=4320 : 4320= ab^3 but : a=20 so : 4320 = 20b^3
so : b^3 = 4320/20 = 216
216 = 6^3
b^3 = 6^3
b=6
Thus, the function is : y=20(6)^x .
Learn more about exponential functions on : https://brainly.com/question/19742435
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