Consider the function below. fx, Y) = /2 + x - y? (a) Find the domain of f. O x - y?1 2 0 oy? 2x Ox2 y? - 2 ox+22 vỹ ox2 y? (b) Find the range of f. (Enter your answer using interval notation.)

Q: 9. The gas tank in a truck holds 14 gallons. The truck uses gas at a rate of gal/mi. The amount of…

A:

Q: 15) Evaluate each function given that f(x) = 3x? – 2x and g(x) = -8x – x. Give your answer in…

A:

Q: Write the function y = x2 + 3x – 3 in function notation and find f (a + 2).

A:

Q: Which is the function represented by the table? fix) -1 1 -1 -3 O (x)=-2x+1 O (x) = x-2 O fx) = x+4…

A:

Q: Use the two given functions to write y as a function of x. x+6 y = 4m - 6, m = 4 y = (Simplify your…

A:

Q: determine whether the equation defines y as a function of x.   x + y2 = 1

A: Given- x+y2=1 To determine- whether the equation defines y as a function of x

Q: Determine whether the equation x + y = 25 defines y as a function of x.

A: Equation:          x + y = 25  Yes, the given equation defines y as a function of x.

Q: use the two given function to write y as a function of x.  y=2m-5, m=x+5 / 2

A: We have, y = 2m-5m = x+52 To determine: The expression of y as a function of x.

Q: Determine the values of x for which the function is differentiable. y = -6x + 6

A: To find the values of x for which the function is differentiable.

Q: Determine whether the equation |x |- y = 5 defines y as a function of x.

A: |x|-y=5

Q: Let f(x) = 10 − 3x2. Find each function value. a. f(2)   b. f(−4)   c. f(x − 1)

A: Since, we have f(x)=10-3x2(a)f(2)=10-3(2)2 ⇒f(2)=10-3(4)=10-12⇒f(2)=-2

Q: Use the derivitive rule to find the derivitive of the following function y = x2 - 2ax + a2 all…

A: We have to find the derivative of the following function y = x2-2ax+a2x-1 Here function is of type y…

Q: Determine whether the equation 2x + y = 8 defines y as a function of x.

A: Determine whether the equation 2x + y = 8 defines y as a function of x.

Q: Evaluate the function f(x) =x´+2x +2 at the given values of the independent variable and simplify a.…

A: To find f(k) for a function f(x), put x=k in f(x) and simplify the expression to get f(k).