For each function, determine the domain and range, intercepts, positive/negative intervals, and increasing/decreasing intervals. State the equation of the reciprocal function. Then sketch the graphs of the original and reciprocal functions on the same axes. a) f(x) = 2x + 8 0 f(x) =x-x-12 b) f(x) 3D %3 = -4x-3 d) f(x) 3= 2 +10x- 12

Q: If y = 3x - 4 and the domain is {-3, -1, 4}, find the range.

A:

Q: State the domain and the range for Y = 2*

A: The domain and range of function is given by

Q: (b) y -2 2 4 6. 8. -2 -6 -8 y = - |x – 2| + 6| 2.

A: The objective is to use graph of  f(x)=|x| to write an equation for the function represented by the…

Q: Fill in each blank for the function f(x) = 3x - 6. solve for each   f(-4) f(4) f(-2) f(0)

A: Given function fx=3x-6.  We need to find following parts, f-4, f4, f-2, f0.

Q: Find the intercepts and then graph the line for f(x)=-2-2x

A: The given function is,

Q: The function f(x) = 96x - 16x models the height, in feet, of a ball x seconds after being thrown…

A: We have given f(x)=96x-16x2 according to question 80=96x-16x2…

Q: Which of the functions has the y-axis as the line of symmetry?

A: Generally we check three kinds of symmetries for the graphs. Symmetry about X axis Symmetry about Y…

Q: Find coordinates of relative extremes of the function. Give answer with fraction in lowest terms (x)…

A:

Q: what is the range and domain of y = 3x?

A:

Q: Determine x- and y-intercepts of the function: f(x) = x² - 7x + 12

A: To find x-intercepts, substitute y=0 and To find y-intercepts, substitute x= 0.

Q: Find & Simplify the difference quotient for the function: fax) = 526 5x-6

A: f(x)=25x-6

Q: Graph f(x) =-2x +2 t 4 and state it's domain and range.

A:

Q: Find the domain and range of y = 1+ v8 + x³.

A: We have to solve

Q: Do Now: Evaluate each function, 1) If f(x) = x² • 5x • 6, find f(2).

A:

Q: Find the x-intercept. X-2 y = 3x - 1 ([?], [])

A: Please see the below picture for detailed solution.

Q: Graph the following function. f(x) = x - 6 To graph the function, plot five points on the graph as…

A: The graph is