12. MP) Reason Describe in words what happens to the value of $$ f(x)=b^{x} $$ when the value of $$ x $$ increases by 1. $$ f(x+1)=b^{x+1} $$ $$ f(x+1)=b^{x} \cdot b^{\prime} $$ $$ f(x+1)=f(x) \cdot b $$

Question

UpStudy AI · Accepted Answer

1. We start with the function $$ f(x) = b^x $$.

2. When increasing $$ x $$ by 1, we have:
   $$
   f(x+1)=b^{x+1}
   $$

3. Using the exponent property $$ b^{x+1}=b^x \cdot b $$, we can rewrite the expression as:
   $$
   f(x+1)=b^x \cdot b
   $$

4. Recognizing that $$ f(x)=b^x $$, we substitute to obtain:
   $$
   f(x+1)=f(x) \cdot b
   $$

5. In words, this means that when $$ x $$ increases by 1, the function $$ f(x) $$ is multiplied by $$ b $$.
When $$ x $$ increases by 1, the value of $$ f(x) = b^x $$ is multiplied by $$ b $$.

MP) Reason Describe in words what happens to the
value of when the value of increases by 1.

Solución de inteligencia artificial de Upstudy

Responder

Solución

Bonus Knowledge

preguntas relacionadas

Latest Pre Calculus Questions

MP) Reason Describe in words what happens to the value of when the value of increases by 1.