I WANT TO EDIT THE QUESTION TO GIVE MORE POINTS BUT IT\'S NOT COMING UP OR I CAN
ID: 2866774 • Letter: I
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I WANT TO EDIT THE QUESTION TO GIVE MORE POINTS BUT IT'S NOT COMING UP OR I CAN'T SEE IT.
CAN ANYONE HELP?
Questions: 1. Biologists have noticed that the chirping rate of crickets of a certain species is related to temperature, and the relationship appears to be very nearly linear. A cricket produces 113 chirps per minute at 21 degree C and 173 chirps per minute at 27 degree C. (a) Find a linear equation that models the temperature T as a function of the number of chirps per minute N. (h) What is the slope of the graph and what does it represent ? (e) What is the T-intercept of the graph and what does it represent? (d) If the crickets are chirping at 150 chirps per minute, estimate the temperature. 2. Consider the piecewise function f(x) = (a) Sketch a graph of f. (b) State the domain and range of f. (c) Does f have an inverse? If not, explain why, otherwise if so then sketch the inverse function f^-1 3. Find the domain of the function g(t) =3/root t^2-7t 4. Is the function given by f(x) = (x-5)(x + 5)x even or odd or neither? Please justify your reasoning.Explanation / Answer
1) a) slope: (173-113) / (27-21) =
60 / 6 =
10
b)y=mx+b : m=10, pick any of the two points for x,y
113=10(21)+b
113-210=b
b=-97
so we have equation y= 10x-97 or N = 10T-97
c)T intercepts means x intercepts for this we will plug N=0 and solve for T we will get
0=10T-97
T = 9.7 so T intercepts ( 9.7, 0) it means no chirping at temperature = 9.7 degree celcius
d) if N= 150 we have to solve for T
150 = 10T-97
247 =10T
T = 24.7 degrees celcius
3) as we know that sqrt( t^2-7t) >0
t^2-7t>0
t(t-7)>0
so we have domain ( -inf, 0) U ( 7, inf)
4) f(x) = x^2 -25
f(-x) = (-x)^2 -25 = x^2 -25 no change in function it means Even function
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