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3 years ago

Graphing Exponential Functions In Exercise, sketch the graph of the function.

Mathematics

1 answer:

denis23 [38]3 years ago

5 0

Answer:

The graph of the function $f(x) = (1/2)^2x + 4$ is attached as image below.

Analysis:

We have two intersection points in the graph

The function $f(x) = (1/2)^2x + 4$ intersects the y-axis at points (0,4)

The function $f(x) = (1/2)^2x + 4$ intersects the x-axis at points (-16,0)

f(x) is positive for x>-`16

f(x) is negative for x<-`16

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Which represents the reflection of f(x)=sqrt x over the y axis

zloy xaker [14]

reflection of $f(x)=\sqrt{x}$ over the y axis we get $g(x)=\sqrt{-x}$

Step-by-step explanation:

We need to find the reflection of f(x)=sqrt x over the y axis

So, reflection over y- axis

If the function f(x) is transformed over y-axis then the new function g(x) will be $g(x)= f(-x)$

So, finding reflection of $f(x)=\sqrt{x}$ over the y axis we get:

$g(x)=\sqrt{-x}$

So, reflection of $f(x)=\sqrt{x}$ over the y axis we get $g(x)=\sqrt{-x}$

Keywords: Transformations

Learn more about Transformations at:

#learnwithBrainly

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sergejj [24]

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