Answered

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Graph the following function using the techniques of shifting, compressing, stretching and or reflecting.

Graph The Following Function Using The Techniques Of Shifting Compressing Stretching And Or Reflecting class=

Sagot :

Answer:

Domain: (-∞, ∞)

Range: (-∞, ∞)

Explanation:

The parenting function of g(x) = (x + 3)³ + 5 is f(x) = x³.

The graph of f(x) = x³ is

Then, if we have a function g(x) = f(x + c), we can say that g(x) is the graph of f(x) shifted c units to the left and if we have a function g(x) = f(x) + c, we can say that g(x) is the graph of f(x) shifted c units up

In this case, g(x) = f(x + 3) + 5 because

g(x) = f(x + 3) + 5

g(x) = (x + 3)³ + 5

So, g(x) has the graph of f(x) shifted 3 units to the left and 5 units up.

Therefore, the graph of g(x) is

Now, the domain is the set of values that x can take and the range is the set of values that y can take, so the domain and range are all the real number.

Domain: (-∞, ∞)

Range: (-∞, ∞)

View image ChiaraI297645
View image ChiaraI297645
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