AnswersGeometry AFunction Notation

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On a coordinate plane, a curved line with a minimum value of (negative 1.25, negative 3.25) and a maximum value of (0.25, negative 1.75), crosses the x-axis at (negative 2.25, 0), and crosses the y-axis at (0, negative 2). The line exits the plane at (negative 2.75, 6) and (1.5, 6).

Question illustration
A
As the x-values go to positive infinity, the function's values go to negative infinity.
B
As the x-values go to zero, the function's values go to positive infinity.
C
As the x-values go to negative infinity, the function's values are equal to zero.
D
As the x-values go to positive infinity, the function's values go to positive infinity.
4

On a coordinate plane, a curved line with a minimum value of (negative 2.5, negative 12) and a maximum value of (0, negative 3) crosses the x-axis at (negative 4, 0) and crosses the y-axis at (0, negative 3).

Question illustration
A
F(x) < 0 over the interval (–∞, –4)
B
F(x) < 0 over the interval (–∞, –3)
C
F(x) > 0 over the interval (–∞, –3)
D
F(x) > 0 over the interval (–∞, –4)
5

On a coordinate plane, a curved line with minimum values of (negative 2, 0) and (1.05, negative 41), and a maximum value of (negative 0.5, 5), crosses the x-axis at (negative 2, 0), (0, 0), and (1.5, 0), and crosses the y-axis at (0, 0).

Question illustration
A
As the x-values go to positive infinity, the function’s values go to positive infinity.
B
As the x-values go to zero, the function’s values go to positive infinity.
C
As the x-values go to negative infinity, the function’s values are equal to zero.
D
As the x-values go to negative infinity, the function’s values go to negative infinity.
6

On a coordinate plane, a curved line crosses the x-axis at (negative 1, 0), and crosses the y-axis at (0, negative 3).

Question illustration
A
x-intercept = (–1, 0)y-intercept = (–3, 0)
B
x-intercept = (0, –1)y-intercept = (0, –3)
C
x-intercept = (0, –1)y-intercept = (–3, 0)
D
x-intercept = (–1, 0)y-intercept = (0, –3)
7

On a coordinate plane, a curved line with a minimum value of (5.1, negative 7) and a maximum value of (0, 25), crosses the x-axis at (negative 3.4, 0), (3.9, 0), and (6, 0), and crosses the y-axis at (0, 25).

Question illustration
A
Over the interval [–4, –2], the local minimum is 0.
B
Over the interval [–2, –1], the local minimum is 25.
C
Over the interval [–1, 4], the local minimum is 0.
D
Over the interval [4, 7], the local minimum is -7.

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