Question

Select all the correct answers. Exponential function fis represented by the table. x 0 1 2 4 1) -12 -4 0 2 Function g is represented by the equation. g(x) -12(1/2)^x Which statements are true about the two functions?

Answer 1

From the given table, we can note that function f(x) increases as x increases and becomes positive.

On the other hand, g(x) decreases as x decreases and become negative. Then options 1, 2 and 4 are false.

On the other hand, the y-intercept is equal to -12 because f(0)= -12 and g(0)=-12, then option 5 is true.

Finally, lets find the x-intercept.

In the first case, from the table, the x-intercept is f(2)=0, that is x=2.

In the second case, we need to compute

`0=-12((1)/(3))^x`

which implies that x must be + infinity because

`-12((1)/(3))^(-\infty)=-12((1)/(3^(\infty)))\longrightarrow0`

then option 3 is false.