Introduction to Quadratic Functions Answers
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Which function increases at the fastest rate between x = 0 and x = 8?
A
A 2-column table with 5 rows titled Linear Function with the equation f of x = 2 x + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 2, 6, 10, 14, 18.
B
A 2-column table with 5 rows titled Exponential Function with the equation f of x = 2 Superscript x Baseline + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 3, 6, 18, 66, 258.
C
A 2-column table with 5 rows titled Quadratic Function with the equation f of x = 2 x squared + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 2, 10, 34, 74, 130.
D
A 2-column table with 5 rows titled Linear Function with the equation f of x = 3 x + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 2, 8, 14, 20, 26.
3
Which graph shows a negative rate of change for the interval 0 to 2 on the x-axis?
A
On a coordinate plane, a parabola opens up. It goes through (negative 6, 3), has a vertex of (negative 1.5 negative 3.75), and goes through (3.2, 4).
B
On a coordinate plane, a parabola opens up. It goes through (negative 5.5, 4), has a vertex of (negative 1, negative 3.2), and goes through (3.5, 4).
C
On a coordinate plane, a parabola opens up. It goes through (negative 1, 4), has a vertex of (2.5, 0.25), and goes through (5.8, 4).
D
On a coordinate plane, a parabola opens up. It goes through (negative 3.4, 4), has a vertex of (1.5, negative 3.75), and goes through (6, 3).
5
Which represents a quadratic function?
A
f(x) = −8x3 − 16x2 − 4xB
f (x) = x 2 + 2x − 5
C
f(x) = + 1
D
f(x) = 0x2 − 9x + 7
7
What possible changes can Martha make to correct her homework assignment? Select two options.
A
The first term, 5x3, can be eliminated.B
The exponent on the first term, 5x3, can be changed to a 2 and then combined with the second term, 2x2.C
The exponent on the second term, 2x2, can be changed to a 3 and then combined with the first term, 5x3.D
The constant, –3, can be changed to a variable.E
The 7x can be eliminated.8
The graph of f(x) is shown.
A
–2 to –1B
–1.5 to 0.5C
0 to 1D
0.5 to 1.59
On a coordinate plane, a parabola opens down. It goes through (negative 1.9, negative 4), has a vertex of (0.5, 3.2), and goes through (3, negative 4).
A
–2 to –1B
–1.5 to 0C
0 to 1D
1 to 2.510
A 2-column table with 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries 21, 10, 5, 6, 13.
A
f(x) = 3x2 + 2x – 5B
f(x) = 3x2 – 2x + 5C
f(x) = 2x2 + 3x – 5D
f(x) = 2x2 – 2x + 5Did you find these answers helpful?
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