albamarronpe

2022-09-03

How do you find the domain and range of exponential functions $f(x)=2-{e}^{\frac{x}{2}}$?

xgirlrogueim

Beginner2022-09-04Added 13 answers

Explanation:

The domain of a exponential function is Usually $\mathbb{R}$ Unless, the domain is restricted this usually specified by the use of function notation in the question.

The range of the most basic exponential f(X) is:

${\mathbb{R}}^{+}$ the range of a exponential can be altered by a vertical translation or by a reflection in the X axis or y-axis(depends),

Or a combination of these transformations.

For Working out range I think it is best you sketch the curve yourself or use a graphing app e.g Desmos or A Graphing calculator Like the CAS T-nspire.

The domain of a exponential function is Usually $\mathbb{R}$ Unless, the domain is restricted this usually specified by the use of function notation in the question.

The range of the most basic exponential f(X) is:

${\mathbb{R}}^{+}$ the range of a exponential can be altered by a vertical translation or by a reflection in the X axis or y-axis(depends),

Or a combination of these transformations.

For Working out range I think it is best you sketch the curve yourself or use a graphing app e.g Desmos or A Graphing calculator Like the CAS T-nspire.

What is the range of the function $y={x}^{2}$?

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A)$R,[0,\mathrm{\infty}]$

B)$R,[-1,1]$

C)$R,[-\mathrm{\infty},\mathrm{\infty}]$

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