Identify which of the following statements are true. f(x) 7 < 7 0 for x (a) f'(x) True False 0 forX> 7 (b) f'(x) True False f(x) 0 for x 7 (c) = True False

Q: Determine the interval (s) where the following function is continuous x-7 f(x)= (x-7)x+4)

A: In the given function (x-7) is a common factor in numerator and denominator. So, it will cancel out…

Q: snip

A: If f(x)=ax, Then to show that, f(αx)=f(x)α

Q: If a function f is continuous for all real numbers and if х2 + 2х- ах —2а f(x) = when x a, then f…

A:

Q: If f(x) - 5', show that f(x + h) – f(x) 5" h h

A: given that f(x)=5^x

Q: Differentiate the function In x f(x) = In 2x +3, x>0

A:

Q: The function f(x) is defined as f(x) = 2x + 5. What is the value of f(- 7/4)? a. -17 b. 3/2 c. 17/2…

A: given f(x)= 2x+5 f(-7/4)= 2(-7/4)+5 =-7/2+5 = -3.5+5= 1.5 = 3/2 f(-7/4)= 3/2

Q: Let f(x) = 2? + 3 and g(x) = 3x +5. What is f(g(-1))

A:

Q: How would you transform the function given by f(x) = |x| to fit the data shown? YA f(x) = |x| 4 2 -6…

A: Given:

Q: graph the following functions  f(x)=3x-1    if x\le 0        -2x+1   if x\gt 0

A:

Q: Differentiate the following function. y=x(x5 + 5) 3 Choose the correct setup below to differentiate…

A: We have to check

Q: Let f : R → R, where f(n) = 5 . Answer the following questions. 7x²+3*

A:

Q: Suppose that f(x) is a function with f( – 1) = – 9 and f(3) = 9. Determine which choice best…

A: given: we have a function f(x) such that f(-1)=-9 and f(3)=9. the given statement is: ''f(x)=0 for…

Q: Let f(x)=(x-3)/(x2-1).  What can you say about the long-term behavior of f?

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Q: Suppose F(x)=g(2x2-3). Find F`(1) if g`(-1)=-4

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Q: Evaluate the following: 1. f(-2)= 2. f(-1)= 3. f(5)= f(x) = 2 x² + 2x x + 3 if x -1.

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Q: Let f(x)=x²-9x +4. Find f( − 1). f(-1)=

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Q: Suppose that 3 <f"(x) < 5 for all values of x. Show that 18 < f(8) – f(2) < 30.

A:

Q: x²x2 x - 3 ax + b -3 < x < 4 x³ + 4x x ≥ 4 Determine the values of the constants a and b that make…

A: The given function is,The function should be continuous so we can write,

Q: Let f(x) ƒ¯¹(-4)= = x+1 x+8

A:

Q: Let f(x) be the function x + 5 for x 2.

A: Let f(x)=x+5 for x&lt;-1               =cx for -1≤x≤2                =x+6 for x&gt;2 To find the…

Q: If f(x, y) = 7x + 3exy, find the following (a) ax? (b) ду дх (c) Әх ду (d) ay? II II

A: we need find first and second partial derivative

Q: x + 3 f(x) : x + 7

A: we have to find the inverse of the given function f(x) f(x)=x+3x+7also we have to find f-1(-7)