Question

PLEASE HELP the graph of the function f(x)=5/4sin(x)+1 is shown. what are the key features of this function? (look at photo) ​

Answer 1

Answer:

2.25 -0.25 increasing (-0.25,2.25)

Step-by-step explanation:

Answer 2

The minimum and maximum values are negative 1/4 and 9/4. In the interval of (0, π/2), the function is decreasing. And the range of the function will be [–1/4, 9/4].

What is a sinusoidal Function?

It is a function that repeats itself in a particular time interval.

The equation is given as

y = A sin (ωx + Ф) + C

Where A is the amplitude, ω is the frequency, Ф is the phase difference, and C is the constant.

The function is given below.

f(x) = (5/4) sin(x) + 1

Compare the function with standard equation.

A = 5 / 4

ω = 1

Ф = 0

C = 1

Then the maximum value of the function at sin x = 1, will be

Maximum value = 5/4 + 1

Maximum value = 9/4

Then the minimum value of the function at sin x = –1, will be

Minimum value = –5/4 + 1

Minimum value = –1/4

In the interval of (0, π/2), the function is decreasing.

And the range of the function will be [–1/4, 9/4].

More about the sine function link is given below.

https://brainly.com/question/3876065

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