Over which interval is the graph of f(x)=1/2x2+5x+6 increasing?
(-6.5, ∞)
(-5, ∞)
(-∞, -5)
(-∞, -6.5)

The answer to your question is (-5, ∞)

Step-by-step explanation:

A curve decreases when it goes down from left to right.

A curve increases when it goes up from left to right.

In the graph, we notice that it goes down from -∞ to the vertex (-5, -6.5)

And it goes up from the vertex (-5, -6.5) to +∞.

So the answer is (-5, ∞)

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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