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The exponential function h, represented in the table, can be written as h(x) = a.2.
2
h(s)
0
10
1
4
Complete the equation for h(c).
h(z) =
Stuck? Watch a video or use a hint.
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The exponential function h represented in the table can be written as hx a2 2 hs 0 10 1 4 Complete the equation for hc hz Stuck Watch a video or use a hint Repo class=

Respuesta :

Answer:

h(x) = 10 [tex](0.4)^{x}[/tex]

Step-by-step explanation:

The exponential is of the form

h(x) = a [tex](b)^{x}[/tex]

Use the ordered pairs from the table to find a and b

Using (0, 10 ), then

10 = a [tex]b^{0}[/tex] ( [tex]b^{0}[/tex] - 1 ), thus

a = 10

h(x) = 10 [tex]b^{x}[/tex]

Using (1, 4 ), then

4 = 10 [tex]b^{1}[/tex] , hence

b = [tex]\frac{4}{10}[/tex] = 0.4

h(x) = 10 [tex](0.4)^{x}[/tex]

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