What is the initial value of the exponential function shown on the graph?
0
1
2
4

Option C is correct

The initial value of the exponential function shown on the graph is, 2

Step-by-step explanation:

A function is a mathematical relation in which we input values of a domain that generate output values of a range.

Initial value of a function is the output value of the function  when the input value is 0.

As shown in the graph: the exponential function cut through the point (0,2)  ,

where y=2  when x=0.

therefore, the initial value of the given exponential function shown on the graph is, 2.

Option C.

Step-by-step explanation:

Let the exponential function that defines the graph is y =

where a = initial value of the function

r = rate of change of the function

x = duration or time

Graph in the picture passes through (0, 2) and (1, 4)

So for the point (0, 2),

2 =

2 = a

Therefore, initial value of the exponential function in the graph is 2.

Option C. 2 is the answer.

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15