Week 2 - Online Learning (Domain and Range, Quadratic Att)

What are the solutions to  $2\left(x+7\right)^2=32$  ?

•  $x=\pm\sqrt{65}$  

•  $x=-1\ and\ x=15$  

•  $x=-3\ and\ x=-11$  

•  $x=7\pm\sqrt{32}$  

The graph of the quadratic function k is shown on the grid.Which statements are best supported by the graph of k?

I. One of the zeros is located at (-4,0).

II. The coordinates of the y-intercept are (0,8).

III. The axis of symmetry is x = 2.

• I and II only

• I and III only

• II and III only

• I, II, and III

A student ran a cross country race from school to a local park. The graph shows the student’s distance in miles from the park after running for x minutes. What is the domain of the function for this situation?

• All real numbers less than or equal to 40

• All real numbers less than or equal to 7

• All real numbers greater than or equal to 0 and less than or equal to 40

• All real numbers greater than or equal to 0 and less than or equal to 7

The graph below represents the height of a golf ball in feet as a function of the elapsed time since it was hit. The golf ball was in the air for 4 seconds. What is the range of the representative function?

• $0≤y≤4$

• $0<y<4$

• $0≤y≤80$

• $0<y<80$

The population of Center City is modeled by exponential function f, where x is the number of years after the year 2015. The graph of f is shown on the grid. Which inequality best represents the range of f in this situation?

• $x≥0$

• $y≥250,000$

• $0≤x≤110$

• $250,000≤y≤1,000,000$

What is the domain of $f(x)=-x^2-2x+3$  ?

•  $-3≤x≤1$  

•  $f(x)≥-4$  

• All real numbers

•  $f(x)≤-4$  

What is the positive solution to the equation $8x^2+24x=270$  ?

•  $x=4.5$  

•  $x=-7.5$  

•  $x=-4.5$  

•  $x=7.5$  

What is the domain of the following function?

• All real numbers

• All real numbers greater than or equal to -5 and less than 2

• All real numbers greater than or equal to -3 and less than 2

• All real numbers greater than -5 and less than or equal to 4

The graph of the quadratic function h is shown on the grid. Which statements are best supported by the graph of h?

I. The vertex of the graph is located at (0,3).

II. The coordinates of one of zeros are (3,0).

III. The axis of symmetry is x=2.

• I and II only

• I and III only

• II and III only

• I, II, and III

What is the range of the exponential function?

• $y>-4$

• $y>0$

• $y<-4$

• All real numbers