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Precalculus - Chapter 1 Review
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Terms in this set (20)
Not a Function
Function or Not?
as x→∞, f(x)→-∞,
as x→-∞, f(x)→∞
Describe the end behavior of g(x) = -4x³-5x+1
(-∞, -4)U[10, ∞)
Describe the set of numbers below using interval notation:
x <-4 or x ≥10
(-1.45, -6.76)
Determine the relative minimum point of the following function:
f(x) = -2x³-4x² + x - 3
(0.12, -2.94)
Determine the relative maximum point of the following function:
f(x) = -2x³-4x² + x - 3
-3x² + 4x - 12
Given that f(x) = -7 - 2x² and g(x) = 5 - 4x + x², find (f - g)(x)
-2x² + 20x - 47
Given that f(x) = 3 - 2x² and g(x) = 5 - x, find (f ° g)(x)
Reflection over the x-axis, left 3 units, down 1 unit
Given the parent function f(x) = x², describe the following transformation g(x):
g(x) = -(x + 3)² - 1
Vertical stretch by a factor of 2, reflection over the y-axis, up 3 units
Given the parent function f(x) = √x, describe the following transformation g(x):
g(x) = 2√-x + 3
[-2, 10)
Describe the set of numbers below using interval notation:
-2 ≤ x < 10
51 feet
A football is launched in the air and can be modeled by the equation h(t) = -16t² + 48t + 15 where t is in seconds and h is in feet. How high did the football reach?
1.5 seconds
A football is launched in the air and can be modeled by the equation h(t) = -16t² + 48t + 15 where t is in seconds and h is in feet. When does the football reach its maximum height?
3.29 seconds
A football is launched in the air and can be modeled by the equation h(t) = -16t² + 48t + 15 where t is in seconds and h is in feet. When does the football hit the ground?
1
Given that g(x) = 5 - 6x - 4x², find f(-2)
-½x + 2
Given that f(x) = -2x + 4, find f⁻¹(x)
2
Given that f(x) = 3 - 2x² and g(x) = 5 - 3x, find (g ° f)(-1)
-9
Find the average rate of change of f(x) = -2x² - 3x + 4 on [-1, 4]
y = √(x + 2)+1
Identify the equation that will produce the related function shown in blue if the parent function f(x) = √x is shown in red.
(-1.45, 0.12)
Determine the intervals for which f(x) is increasing:
f(x) = -2x³-4x² + x - 3
(-∞, -1.45)U(0.12, ∞)
Determine the intervals for which f(x) is decreasing:
f(x) = -2x³-4x² + x - 3
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