ANSWER
The maximum y-value is 0.
EXPLANATION
The domain of the given absolute value function is (-∞, ∞) .
This means the function is defined for all real values of x.
The range of the function is (-∞, 0].
This can be rewritten as
This means that, the highest y-value on the gray of this absolute value function is 0.
Hence the maximum y-value of the function is 0.
Answer:
A. As the value of x increases, the value of f(x) moves toward a constant
Step-by-step explanation:
An exponential function with a base less than 1 will decay to zero. Here, the exponential has -2 added to it, so the decay is toward the value -2.
An exponential function is defined for all real numbers. This one has a y-intercept of -1.
A centimetre is the most appropriate unit
Answer:
12
Step-by-step explanation:
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
The factors of 108 are: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Then the greatest common factor is 12.
Answer: y = 1/2x - 7
<u>Data</u>
Point = (-4, -9)
slope = m = 1/2
<u>Process</u>
To solve this problem, use the formula slope- y-coordinate, substitute the values and simplify.
<u>Equation</u>
y - y1 = m (x - x1)
x1 = -4
y1 = -9
<u>Substitution</u>
y + 9 = 1/2 (x + 4)
<u>Simplification</u>
y + 9 = 1/2x + 4/2
y = 1/2x + 2 - 9
<u>Answer</u>
y = 1/2x - 7
