Question

What function equation is represented by the graph? f(x)=(43)x+5 f(x)=(34)x+5 f(x)=(43)x+6 f(x)=(34)x+6

Answer 1

Answer:

Option B is correct.

$f(x) = (\frac{3}{4})^x+5$

Step-by-step explanation:

Exponential function: An exponential is of the form: $f(x) = ab^x$

where a is the initial value and b is the growth factor

If b> 1, then the function is an exponential growth function.

if 0<b< 1 , then the function is an exponential decay function.    

The function which is represented in the graph is exponential decay function.

The parent function $f(x) = (\frac{3}{4})^x$ represents the exponential function.

Vertical shift:

If c is a positive real number , then the graph y= f(x)+c is the graph of y =f(x) shifted c units upward.

If c is a positive real number , then the graph y= f(x)-c is the graph of y =f(x) shifted c units downward.

Then;

The graph $f(x) = (\frac{3}{4})^x+5$ is the graph of $f(x) = (\frac{3}{4})^x$  is shifted 5 units up.

Therefore, the function which represented in the graph is $f(x) = (\frac{3}{4})^x+5$

Answer 2

Answer:

B

Step-by-step explanation: