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olasank [31]
3 years ago
5

Consider the graph of the function f(x) = 2(x + 3)2 + 2. Over which interval is the graph decreasing? (–∞, –3) (–∞, 2) (–3, ∞) (

2, ∞)

Mathematics
2 answers:
butalik [34]3 years ago
7 0

Answer:

A. (–∞, –3)

Step-by-step explanation:

SOVA2 [1]3 years ago
4 0

Answer:

(–∞, –3)

Step-by-step explanation:

The function f(x) = 2(x + 3) ^ 2 +2 is a quadratic function of order 2 and positive coefficient.

This is in the form of the function y = x^2, but it is displaced 3 units to the left of the x axis and two units up in the y axis. type of functions are decreasing from -∞ to its vertex and then they are increasing from the vertex to infinity.

Observe in the attached graph that this function has its vertex in the point (-3, 2) and is decreasing from -∞ to x = -3. Then it is increasing until ∞. Therefore the correct option is:

(-∞, -3)

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erma4kov [3.2K]

The exponential function that passes through (0,2) and (3,54) is a growth function

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<h3>How to construct the exponential function?</h3>

The points are given as:

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An exponential function is represented as:

y = ab^x

Substitute the points in the equation

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Solve 2 = ab^0

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Substitute 2 for a in 54 = ab^3

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Take the cube roots of both sides

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So, we have:

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This becomes

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Hence, the exponetial function is y = 2 * 3^x

Read more about exponential functions at:

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