The graph represents the function (check picture)

a = 1 and b = -12

Step-by-step explanation:

* Lets look to the graph to solve the problem

- f(x) is a rational function with:

# numerator ⇒ x² - 4x + 3

# denominator ⇒ x² + ax + b

- To find the values of a and b lets use the hole and the vertical

  asymptote in the graph of the function

∵ There is a hole at x = 3

- The hole appears when the numerator and the denominator have

 a common factor

∵ x = 3 ⇒ subtract 3 from both sides

∴ x - 3 = 0

∴ The numerator and the denominator have a factor (x - 3)

- The vertical asymptotes appear at the zeros of the denominator

  that means the values of x when the denominator = 0

∵ There is a vertical asymptote at x = -4

∵ x = -4 ⇒ add 4 for both sides

∴ x + 4 = 0

∴ The denominator has another factor (x + 4)

- The denominator x² + ax + b has two factors (x - 3) and (x + 4) lets

  multiply them to find the value of a and b

∵ (x - 3)(x + 4) = (x)(x) + (x)(4) + (-3)(x) +(-3)(4)

∴ (x - 3)(x + 4) = x² + 4x - 3x - 12 = x² + x - 12

∴ x² + ax + b = x² + x - 12

- By comparing the two sides

∴ a = 1 and b = -12

can someone answer this question plz

step-by-step explanation:

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05