WorksheetsQuadratic Functions - Graph Characteristics
Total questions: 25
Worksheet time: 1hrs 2mins
Which statement is true about the function provided?
Select all that apply.
The value of a is positive.
The value of a is negative.
The function is positive at x = 0
The function is positive at x = 2
Which of the following correctly identifies the positive interval for the function given?
(−∞, -1.5)
(−∞, -4)U(1, ∞)
(-1.5, ∞)
(−∞,-6.25)U(-6.25,∞)
Which of the following correctly identifies the end behavior for the given function?
As x → ∞, ƒ(x) → ∞
As x → −∞, ƒ(x) → ∞
As x → ∞, ƒ(x) → −∞
As x → −∞, ƒ(x) → −∞
As x → ∞, ƒ(x) → ∞
As x → −∞, ƒ(x) → −∞
Which option correctly identifies the interval for which the given function is decreasing?
(-∞, -8)
(-8, ∞)
(-∞, 0)
(0, ∞)
Which option correctly identifies the interval for which the given function is negative?
(-10, 0)
(-5, ∞)
(-∞, -5)
(-2.5, ∞)
For what interval is the given function increasing?
(-∞, 1)
(-∞, 0.5)
(-∞, 0)U(2, ∞)
(1, ∞)
What is the domain of the given function?
(-∞, -2)
(-∞, ∞)
[-∞, ∞]
[-2, ∞)
What is the range of the given function?
(-∞, 2]
(-∞, ∞)
[-∞, ∞]
[-2, ∞)
What is the interval for which the given function is positive?
(-∞, ∞)
(-∞, 0]
(-0, ∞)
none
For what interval is the given function decreasing?
(-∞, 0)
(-∞, 0]
(0, ∞)
none
For what interval is the given function positive?
(-∞, -2.236)U(2.236, ∞)
(2.236, ∞)
(-∞, -2.236)
(-2.236, 2.236)
What is the range of the given function?
[-5.25, ∞)
(−∞, -5.25)
(−∞, ∞)
(∞, 1.209)U(5.791, ∞)
Use your graphing calculator to find the solutions to the given function.
ƒ(x) = x² + 3x - 2
{-3.56, 0.56}
{3, -2}
none
(-1.5, -4.25)
Use your graphing calculator to find the vertex of the given function.
ƒ(x) = x² + 3x - 2
(-3.56, 0.56)
(-2, -4)
none
(-1.5, -4.25)
Use your graphing calculator to find the maximum value of the given function.
h(x) = -x² + 6x − 10
x = 3
(3, −1)
none
y = −1
Complete the statement about the end behavior for the given function.
As x → ∞, ƒ(x) → _____
∞
−∞
Complete the statement about the end behavior for the given function.
As x → −∞, ƒ(x) → _____
∞
−∞
Does the following function have a maximum or a minimum?
g(x) = 7x2 − 4x
Maximum
Minimum
For which interval is the given function negative?
(−4, 4)
[−4, 4]
(−∞, 4)
(−4, ∞)
What is the equation for the axis of symmetry for the given function?
x = −5
x = −2.5
x = 0
x = −10
What is the equation of the axis of symmetry for the given function?
f(x) = 4x2 + 24x − 13
x = −6
x = 6
x = −3
x = 3
Which option(s) correctly identify the domain and range for the given function?
D: [−4, ∞)
D: (−∞, ∞)
R: (−∞, 4]
R: (−∞, ∞)
What is the value of y that correctly completes the ordered pair (-3, ____ ) for the given function?
g(x) = x2 + 2x − 4
−19
−1
11
none
What is the value of y that correctly completes the ordered pair ( ____ , 0 ) for the given function?
1
2.5
0
none
Which intervals correspond to the function being positive?
Select all that apply.
(−∞, ∞)
(1, ∞)
(−∞, -10)
(−10, 0)
