Test statement #1.
f(x) = -0.3(x - 5)² + 5
This is the equation of a parabola with vertex at (5,5).
Therefore the function is symmetric about x=5.
The statement "The axis of symmetry is x=5" is TRUE.
Test statement #2.
f(x) is defined for all real values of x.
The statement "The domain is {x | x is a real nuber} is TRUE.
Test statement #3.
As x -> -∞, f(x) -> -∞.
f(5) = -0.3*(5-5)^2 + 5 = 5
Therefore f(x) is creasing over (-∞, 5) is TRUE.
Test statement #4.
As x -> +∞, f(x) -> -∞.
Therefore the curve is concave downward., and it has no minimum.
The statement "The minimum is (5,5)" is False.
Test statement #5.
The maximum value of f(x) occurs at the vertex because the curve is concave downward.
The statement "The range is {y | y≥5}" is False.
Answer:
The first three statements are True. The last two statements are False.
Answer:
F
Step-by-step explanation:
F doesn't represent a function because -1 and 2 have multiple outputs. A function is when an input only has one output. F is not a function.
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Step-by-step explanation:
Answer: 2,400 cubic units
Step-by-step explanation: I just did the test sorry I'm late
Answer:
Formula: y2-y1/x2-x1
Slope: -3/4
Step-by-step explanation:
-3-(-3/4)/4-1
=(-9/4)/3
= -3/4