Each of the following functions f is continuous on the given set d. determine whether f is uniformly continuous on d. justify your answer by providing a brief explanation (just a sentence or two, no formal proofs).
#7(a) f(x)= 4^x/x^4 d = [1/9, 9]
#7(b) f(x)= 4^x/x^4 d = (0, 9]
#7 (c) f(x)= (x^2 + 5x) /2x + 10 d = (−5 , 5)
#7 (d) f(x)= x sin(3/x^3 ) d = (0, 1)

yes because there is exactly one y value for every x value

for function there can't be more than one value for every x value

i believe it is c.y = 9x

rise over run. 9 units up over 1 unit right or 9/1

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0