Respuesta :

Lenvy

Answer:

Less Than

Step-by-step explanation:

 Given;

The equation of one exponential function is

[tex]g(x)=-9(0.1)^x[/tex]

Solve for (y-intercept of g(x))

⇒ [tex]g(x) = -9(0.1)^x[/tex]

⇒ [tex]y = -9(0.1)^0[/tex]

⇒ [tex]y = -9[/tex]

Note;

The y-intercept is when x = 0

y-intercept of h(x) = 6

Hence, knowing that  -9 < 6.

Thus, y-intercept of g(x) is less than the y-intercept of h(x).

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Answer:

less than

Step-by-step explanation:

The y-intercept is when x = 0

Function g(x)

[tex]g(x)=-9(0.1)^x[/tex]

Input x = 0 into the equation and solve:

[tex]\implies g(0)=-9(0.1)^0=-9[/tex]

Therefore, the y-intercept of g(x) is (0, -9)

Function h(x)

From inspection of the table, the y-intercept of h(x) is (0, 6)

As -9 < 6, the y-coordinate of the y-intercept of g(x) is less than the y-coordinate of the y-intercept of h(x)