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Function h is a transformation of the parent exponential function. Which statement is true about this function?




As x approaches positive infinity, approaches 0.

As x approaches negative infinity, approaches positive infinity.

As x approaches positive infinity, approaches positive infinity.

As x approaches negative infinity, approaches negative infinity.

Respuesta :

jayilych4real

The statement that is true about this function is C. As x approaches positive infinity, h(t) approaches positive infinity

Calculations and Parameters

Given that we have:

  • The domain
  • The range
  • The function

Therefore, when x approaches to negative infinity,

[tex]\lim_{x \to \infty} h(x)[/tex]

= 2^(-∞-5)

= 2^(-∞)

= 1/2^∞

=0

Also, as x approaches negative infinity, function h(x) approaches 0.

Then when x approaches to positive infinity,

[tex]\lim_{x \to \infty} h(x)[/tex]

2^(∞-5)

= 2^(∞)

= ∞

Therefore, As x approaches positive Infinity, h(x) approaches positive infinity.

Read more about transformations here:

https://brainly.com/question/17936416

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