What is the #y#-intercept of #y=2.1(.15)^x#?

Answer 1

Ethan Adkins

#"y-intercept "=2.1#

#"let x= 0 ,to find y-intercept"#

graph{2.1(0.15)^x [-10, 10, -5, 5]} #y=2.1(0.15)^0=2.1xx1=2.1larrcolor(red)"y-intercept"#

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Answer 2

Genesis Allen

To find the y-intercept of the function y = 2.1(0.15)^x, we substitute x = 0 into the equation:

y = 2.1(0.15)^0 y = 2.1(1) y = 2.1

Therefore, the y-intercept is 2.1.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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