Linear Equations
Identify its domain and range.
Domain : [-2,1)
Range: [1,5]
find (f o g)(x)
-36x2 + 96x - 17
Find the difference quotient of the function:
f(x) = 5x + 13
5
Find the equation of the line passing through (-1,-5) and perpendicular to y = -1/4 x + 2
y = 4x - 1
https://www.eia.gov/dnav/pet/hist/LeafHandler.ashx?n=pet&s=emm_epm0_pte_nus_dpg&f=a
Determine the intervals for the period from 2016 through 2022 over which the function is increasing, decreasing, or constant.
increasing [2016, 2018] , [2020, 2022]
decreasing [2018, 2020]
Let f(x) = 2x2 + 17x + 21 g(x) = x + 7
find (f/g)(x) and (f - g)(x)
2x + 3
2x2 + 16x + 14
find (g o f)(x)
45x2 - 57x + 14
Find the equation of a line passing through (6, -1) and parallel to x - 2y = -4
y = 1/2 x - 4
Identify its domain and range
Domain (-infinity, 4]
Range [0, infinity)
Let f(x) = 2x2 - x - 3 and g(x) = x + 1
find (fg)(x) and (f/g)(x)
2x - 3
Given f(x) = 5x - 2 and g(x) = 2x2 - 4x + 1, find
(g o f)(x)
50x2 - 60x + 17
Find the secant line
f(x)= -3x2+4x from x1=-1 and x2=2
y = x - 6
Describe transformation of the function.
reflected across the x-axis
shifted 1 units left.
shifted 4 units up.
6x + 3h - 2