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3 years ago

Domain and, range in interval notation

Mathematics

1 answer:

Bas_tet [7]3 years ago

4 0

Domain: [-4,4] (left-to-right or x-values used)

Range: [-4,4] (down-to-up or y-values used)

Function: no

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What is the equation of an exponential function with base=2 that has a vertical stretch by a factor of 3, a shift to the right 5

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Answer:

$y=3(2)^{x-5}+6$

Step-by-step explanation:

Let the equation of the exponential function with base 2 is,

$y=a(2)^{x+c}+d$

Here, a = vertical stretch

c = Horizontal shift

d = Vertical shift

If this function has a vertical stretch by a factor of 3,

Equation will be,

$y=3(2)^{x+c}+d$

If this function has a shift of 5 to the right,

Equation of the function will be,

$y=3(2)^{x-5}+d$

If this function has a shift of 6 units upwards,

$y=3(2)^{x-5}+6$

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