Sketching Graphs and Comparing Functions

The graph of a function is shown. What is the x-intercept?

• -3
• no solution
• 6
• 0

Which statement is true for the graph y= x² + 2x - 3?

• The x-intercepts are -3 and 1, and the minima is (-1,-4)
• The x-intercepts are -3 and 1, and the minima is (1,0)
• The x-intercepts are 3 and -1 and the minima is (-1, -4)
• The x-intercepts are 3 and -1 and the minima is (1,0) 

Frank correctly graphed an inequality on a grid. Which inequality could be the inequality for this graph?

• 2y > 3x + 4
• 2y < 3x + 4
• 3y > 2x +6
• 3y < 2x +6

Two inequalities are graphed on the coordinate plane. Which system of inequalities is best represented by the graph?

• y > 3x + 1 and x < 2 
• y < x + 3 and x < 2
• y > ⅓x + 1 and x > 2
• y < 3x + ⅓ and x > 2

Which is an equation of the function graphed below?

• y = 2^(x+3) 
• y = 2^(x-3) 
• y = 3^(x+2) 
• y = 3^(x-2) 

Which point approximately lies on the graph of the exponential equation with an initial value of 15 and a growth rate of 2.75%?

• (1, 0.4125)
• (3, 31.09)
  
  (3, 31.09)
• (5, 50.5)
• (14, 21.93)

Which point lies on the graph of  y = -8 (½)^x

• (–2, –30)
• (0, 0)
• (1, –3)
• (3, –1)

What is the largest integer value of x such that the value of f(x) = x² – 6x + 40 exceeds the value of g(x) = 2(1.5)^x?

• 6
• 8
• 10
• 12

A system of equations is shown below.
7x + 3y = 10 
y - 3 = 5(3)^x
What is the approximate value of x +y when the two equations are equal?

• 2.79
• 3.98
• 4.37
• 5.91

Jason compared the function f(x) = 20(1.2)^x to the function that fits the values in the table below. What is the distance between the y-intercepts of the two functions?

• 14
• 6
• 26
• 0