Question 1
Consider the function [Tex]h(x) = \frac{1}{\sqrt{x}}[/Tex]. What is the domain of the function [Tex]h(x)[/Tex]?
\(x \geq 0\)
\(x > 0\)
\(x \leq 0\)
\(x < 0\)
Question 2
Which of the following functions represents a parabola that opens downward?
f(x)=x2−3x+2
f(x)=−2x2+4x−1
f(x)=3x2−2x+5
f(x)=−4x2+2x−1
Question 3
Consider the function [Tex]f(x) = 3x^2 - 6x + 1[/Tex]. What are the x-coordinates of the points where the graph of [Tex]f(x)[/Tex] intersects the x-axis?
x=0 and x=2
x=−1 and x=3
x=0 and x=3
[Tex]x = 1[/Tex] and x=2
Question 4
Given the function [Tex]g(x) = \frac{1}{x^2 + 4}[/Tex], which of the following statements is true about the function's graph?
The function is undefined for all real numbers.
The function has a vertical asymptote at [Tex]x = 4[/Tex].
The function has a hole in the graph at [Tex]x = 4[/Tex].
The function is continuous for all real numbers.
Question 5
Which of the following equations has no real solutions?
x2+4x+4=0
x2−6x+9=0
x2−5x+5=0
x2+2x+2=0
Question 6
What is the solution to the equation [Tex]2x^2 - 5x - 3 = 0[/Tex]?
x=−3 or x=1/2
x=−1 or x=3
x=−1 or x=3/2
x=−3/2 or x=1
Question 7
Which of the following expressions is equivalent to [Tex]\frac{{4x^2 + 12x}}{{2x}}[/Tex]?
2x2+6
2x2+6x
2x2+12
2x+6
Question 8
Which of the following expressions is equivalent to [Tex]5x + 3 - (2x - 1)[/Tex]?
3x+2
3x+6
3x+8
3x+4
Question 9
Which of the following ordered pairs satisfies the equation [Tex]y = x^2 - x + 2[/Tex]?
(1,1)
(2,0)
(0,2)
(−1,4)
Question 10
Which of the following ordered pairs satisfies the equation [Tex]y = x^2 + 2x + 1[/Tex]?
(0,1)
(2,9)
(1,4)
(−1,0)
There are 44 questions to complete.