Consider the functions f(x) = ( 5 )" and g(x) = (*)* + 6. What are the ranges of the two functions? f(x): {yly >
g(x): {yly >

The range of the function is the set of all possible values that function can take. Both given functions

y=\left(\dfrac{4}{5}\right)^xy=(

5

4

)

x

and y=\left(\dfrac{4}{5}\right)^x+6y=(

5

4

)

x

+6

are exponential functions with base \dfrac{4}{5}.

5

4

.

The graphs of these function you can see in attached diagram.

The range of the function y=\left(\dfrac{4}{5}\right)^xy=(

5

4

)

x

is (0,\infty).(0,∞).

The range of the function y=\left(\dfrac{4}{5}\right)^x+6y=(

5

4

)

x

+6 (this function is translated function y=\left(\dfrac{4}{5}\right)^xy=(

5

4

)

x

6 units up) is (6,\infty).(6,∞).

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.

8(-10x+3.5y-7)

8×-10x + 8×3.5y + 8×-7

-80x + 28y - 56

therefore

-80x+28y-56 is the correct answer