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Y_Kistochka [10]
4 years ago
9

Graphing Exponential Function in Exercise ,sketch the graph of the function.See example 3 and 4.

Mathematics
1 answer:
Vlad [161]4 years ago
5 0

Answer:

The attached image shows the graph for the given function.

Step-by-step explanation:

We are given the following function in the question:

y(x) = 2^{x-1}

We have to graph the given function.

Properties of the given function are:

  • It is an exponential function of the form y(x) = a^{x + b}
  • Here, a = 2, b = -1
  • The y-intercept of the given function is (0,0.5)
  • There is no x-intercept.
  • The domain of the given function is all real numbers.
  • The range of given function is (0,\infty)

The attached image shows the graph for the given function.

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correct Option is B i.e, 72x^2+288x^2-216x whose simplified form is: 360x^2-216x

Step-by-step explanation:

We need to solve the expression:

2[(6x)(6x)]+4[(12x - 9)(6x)]

Solving:

2[(6x)(6x)]+4[(12x - 9)(6x)]\\=2[36x^2]+4[(12x*6x)-(9*6x)]\\=72x^2+4[72x^2-54x]\\=72x^2+288x^2-216x\\=360x^2-216x

So, correct Option is B i.e, 72x^2+288x^2-216x whose simplified form is: 360x^2-216x

Keywords: Surface area of the rectangular prism

Learn more about surface area of the rectangular prism at:

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Step-by-step explanation:

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