5.4 Analyzing Graphs of Polynomial Functions

Genesis, Adrean, and Anthony are participating in a city-wide math competition. They are faced with a task to graph polynomial functions. Which method do you think they employed from the given options?

• The old-school table method, just like their math teacher taught them

• The substitution method, because why not?

• The matrix method, sounds complicated right?

• The trial and error method, because sometimes guessing works too

Mayra, Sebastian, and Evelyn are on a mission to decode a secret message. They stumbled upon a coded message that can be deciphered using a polynomial function. To decode the next part of the message, they need to find the value of f(-2.5) for this function. Can you assist them?

• -16

• 0

• -41

• 3

Mia, Aiden, Genesis, Sebastian, and Jake are on a hiking trip. They found a map with a topographic representation. They noticed a peak on the map where no other points nearby have a lower altitude than the peak's altitude. What is this peak called?

• Absolute maximum

• Absolute minimum

• Relative maximum

• Relative minimum

Dominique, Elsa, and Aiden are on a quest to find a hidden artifact. They stumble upon an ancient inscription that reads, 'According to the location principle, between which consecutive integer values of X does the real zero of the function occur?' Can you help them decipher this clue?

• 1 and 2

• 0 and 1

• 2 and 3

• -2 and -1

Leilanee, Ignacio, and Jasmine are on a hiking adventure. They found a map with a topographic representation. They noticed a peak on the map. Can you help them figure out at which x coordinate this peak (highest point) occurs?

• -3

• 3

• -1

• 1

Imagine Mayra, Alden, and Sebastian are in a car racing towards a distant finish line. As their car speeds up, it's like they're moving towards negative infinity on a speedometer. What happens to the value of their polynomial speedometer as they continue to accelerate?

• The speedometer reading approaches positive infinity

• The speedometer reading approaches negative infinity

• The speedometer reading approaches zero

• The speedometer reading approaches a constant value

Imagine Genesis, Jake, and Adrean are on a road trip driving towards a city. As their car approaches the city (which we'll call X), what happens to the intensity of the city's lights (considered as a polynomial function)?

• The light's intensity approaches a constant value

• The light's intensity approaches zero

• The light's intensity approaches negative infinity (gets darker)

• The light's intensity approaches positive infinity (gets brighter)

Victoria, Adrean, and Alden are on a mission to solve a real-life mystery. They stumbled upon a coded message that can be deciphered using a polynomial function. They need to find the value of f(-1) to decode the next part of the message. Can you assist them?

• -16

• 0

• -41

• 3

Daniela, Dominique, Alden, Sebastian, and Elsa are on a hiking trip. They found a map with a topographic representation. They noticed a point on the map where no other nearby points have a higher altitude. What is this point called?

• Absolute minimum

• Relative maximum

• Absolute maximum

• Relative minimum

Elsa, Daniela, and Yoni are on a quest to find a hidden treasure. They stumbled upon a map with a graph. They deduced that the treasure is buried at the relative minima of the graph. Can you assist them in determining the x coordinate where the relative minima occurs on the graph?

• 1

• -1

• 3

• -3