Question

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) =
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Answer 1

Answer:

h(x) = 10 $(0.4)^{x}$

Step-by-step explanation:

The exponential is of the form

h(x) = a $(b)^{x}$

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

Using (0, 10 ), then

10 = a $b^{0}$ ( $b^{0}$ - 1 ), thus

a = 10

h(x) = 10 $b^{x}$

Using (1, 4 ), then

4 = 10 $b^{1}$ , hence

b = $\frac{4}{10}$ = 0.4

h(x) = 10 $(0.4)^{x}$