# FNGR 1 | Lesson 1 | Practice (Identifying Exponential) Solution

Solutions

1. Linear, $$f(0) = 0$$, $$f(1) =3$$, $$f(2) = 6$$; 3 was added each time.
2. Exponential, $$f(0) = 1$$ and $$f(1) = \dfrac{2}{3}$$, $$f(2) = \dfrac{4}{9}$$; muliplied by $$\dfrac{2}{3}$$ each time.
3. Exponential, $$f(0) = 1$$,  $$f(1) = -4$$, $$f(2) = -16$$; multiplied by 4 each time. It is the mirror image of $$f(x) = 4^x$$ with respect to the $$x$$-axis.
4. Exponential, $$f(0) =7$$, $$f(1) = 14$$, $$f(2) =28$$; multiplied by 2
5. Linear, $$f(0) = 0$$, $$f(1) = 3.5$$, $$f(2) = 7$$; added 3.5 each time.