What is the end behavior of the graph of the exponential function f(x)=b^x when 0

(1) B. f(x)->0  as x->∞, f(x)->∞  as x->-∞

(2) D.

Step-by-step explanation:

. Given 0<b<1

'b' is between 0  and 1  so b should be a fraction

'b' is a fraction, so for positive value of x , the value of f(x) cannot be negative.

the graph of f(x) will goes close to 0 but it never cross x  axis

So end behavior is f(x)->0  as x->∞

for negative values of x , the y value increases

So end behavior is f(x)->∞  as x->-∞

(2)  f(x) = 2^x

When graph reflects across y axis, x becomes -x

so

For translating up by 5 units we add 5  at the end

so

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.

3

step-by-step explanation: