Question

Write an equation for the exponential function represented in the table below.

Answer 1

Answer:

$f(x)=-\frac{1}{2}(10^x)$

Step-by-step explanation:

Let the exponential function be $f(x)=a(b^x)$.

When x=0, $f(0)=-\frac{1}{2}$

$-\frac{1}{2}=a(b^0)$

$a=-\frac{1}{2}$

The function now becomes $f(x)=-\frac{1}{2}(b^x)$

When x=1, f(1)=-5

This implies that:

$-5=-\frac{1}{2}(b^1)\\ \implies b=10$

Therefore the equation for the exponential function represented in the table below is $f(x)=-\frac{1}{2}(10^x)$

Answer 2

Answer:

⁻$\frac{1}{2}$ (10)ˣ

Step-by-step explanation:

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