Question

The function f ( x ) = 2 ⋅ 5 ^x can be used to represent an exponential growth curve. Which of the following points is NOT on the curve?
Group of answer choices

(3, 250)

(1, 10)

(2, 20)

(2, 50)

Answer 1

Answer:

Point (2, 20) does not lie on the given curve.

Step-by-step explanation:

Let us see explanation:

$f(x) = 2. \: {5}^{x} \\ \\ \therefore \: f(x) \: at \: x = 2 \\ f(2) = 2. {5}^{2} = 2.25 = 50 \\ \\ hence \: at \: x = 2 \: \: f(x) = 50 \\ \therefore \:point (2 \: \: 20) \: does \: not \: lie \: on \: the \: \\ \: \: \: \: \: curve.$

Answer 2

Answer:

(2, 20) is not on the curve.

Step-by-step explanation:

When x = 3,  f(x) =  2*5^3 = 250 .  So (3, 250) is on the curve.

When x = 1, f(x) = 2*5^1 = 10 .  So (1, 10) is on the curve.

When x = 2, f(x) =  2*5^2 = 50 .   So (2, 50) is on the curve.

From the last line we see that (2, 20) is NOT  on the curve.