How does h(x) = 2^x change over the interval from x = 1 to x = 2? Choices: (A)h(x) decreases by 2% (B)h(x) increases by 2 (C)h(x) increases by 100% (D)h(x) increases by 2%

Calculate h(x): Calculate h(x) when x = 1. h(1) = 2^1 = 2Calculate h(x): Calculate h(x) when x = 2. h(2) = 2^2 = 4Find change in h(x): Find the change in h(x) from x = 1 to x = 2. Change = h(2) - h(1) = 4 - 2 = 2Determine percentage increase: Determine the percentage increase from h(1) to h(2). Percentage increase = (Change / h(1)) * 100% = (2 / 2) * 100% = 100%

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How does $h(x) = 2^x$ change over the interval from $x = 1$ to $x = 2$ ? $\newline$ Choices: $\newline$ (A) $h(x)$ decreases by $2\%$ $\newline$ (B) $h(x)$ increases by $2$ $\newline$ (C) $h(x)$ increases by $100\%$ $\newline$ (D) $h(x)$ increases by $2\%$

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Math Problems

Algebra 2

Transformations of absolute value functions

Full solution

Q. How does

h(x) = 2^x

change over the interval from

x = 1

x = 2

\newline

Choices:

\newline

(A)

h(x)

decreases by

2\%

\newline

(B)

h(x)

increases by

2

\newline

(C)

h(x)

increases by

100\%

\newline

(D)

h(x)

increases by

2\%

Calculate $h(x)$ : Calculate $h(x)$ when $x = 1$ . $\newline$ $h(1) = 2^1 = 2$
Calculate $h(x)$ : Calculate $h(x)$ when $x = 2$ . $\newline$ $h(2) = 2^2 = 4$
Find change in $h(x)$ : Find the change in $h(x)$ from $x = 1$ to $x = 2$ . $\newline$ Change = $h(2) - h(1) = 4 - 2 = 2$
Determine percentage increase: Determine the percentage increase from $h(1)$ to $h(2)$ . $\newline$ Percentage increase = $(\text{Change} / h(1)) \times 100\% = (\frac{2}{2}) \times 100\% = 100\%$