a)
\( m = \frac{128-16}{2-1}=\frac{112}{1}=112 \)
\( f(x)-16=112(x-1) \)
\( f(x)=112x-96 \)
b)
\( f(x)=ab^x \)
\( 16=ab \)
\( a= \frac{16}{b} \)
\(128=ab^2\)
\( 128 = \frac{16}{b}b^2 \)
\( b=8 \)
\( 16=8a \)
\( a=2 \)
\( f(x)=2(8)^x\)
c)
\( f(x)=ax^b \)
\( 16=a(1)^b \)
\( a = 16 \)
\( 128= 16 (2)^b \)
\( 8 = 2^b \)
\( b=3 \)
\( f(x) = 16x^3 \)
