Topic: Sinusoidal Functions 57 Consider the function y = -3 cos 2x – - 4.75. 3 a) What's the amplitude? b) What's the period? c) Describe the phase shift.

Q: Show that f(x) = √æ³ + 1 is a one-to-one function. Then find its inverse.

A: We have given function fx=x3+15 fx1=x13+15 fx2=x23+15 Put fx1=fx2 x13+15=x23+15 x13+1=x23+1 x13=x23…

Q: Which of the following represents y as a function of x?

A: The following represents y as a function of x is

Q: xet

A: A function F(x) can be written as the sum of an odd and even function as follows:…

Q: 2. Find the domain and range for these functions: -2-1 y=fle

A:

Q: Consider the function y = 4 ex – 10. What is the domain of this function? Express your answer in…

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Q: Evaluate the following function at the indicated values.

A: R(t) = (1/2)3t Observe the function carefully

Q: Express the function in the form fogoh.

A:

Q: Differentiate the following function with respect to x, fully simplifying the answer: y = 3sin(2x)/…

A:

Q: Consider the following graphs. X X X D B y E y

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Q: . Given that f(x) = 3(x-4)² - 5 a. Determine the equation of the inverse

A:

Q: Find the inverse function of f. f(x) = 36x²,0 ≤ x ≤ 6

A: Given query is to find the inverse of the function.

Q: T (2) = Va + 9Væ² 5.

A: # We are entitled to solve one question at a time , please resubmit the other question if you wish…

Q: Find the domain and range of the following functions: y = V4 – x

A: To find the domain and range of the function. The function is as follows y=4-x

Q: The following two functions have a common input, year t: R gives the average price, in dollars, of a…

A: a) Combine the two functions and create a new function that gives the price of gasoline in constant…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: