SUMMATIVE TEST Q2M1

What should be the value of n in f(x) = xⁿ if f(x) is a polynomial function?

• an integer

• a non-negative integer

• any number except 0

• any rational number

Which of the following is not a polynomial function?

• 𝑓(𝑥) = √7x

• 𝑓(𝑥) = −𝑥 ³ − 𝑥 + 1

• 𝑓(𝑥) = 4𝑥 ³ + 𝑥

• 𝑓(𝑥) = 4𝑥 − 2𝑥 ⁻⁵

What is the leading coefficient of 𝑔(𝑥) = 8𝑥 − 5𝑥 ⁷ + 𝑥 4?

• -5

• -3

• 4

• 8

How should the polynomial function

𝑓(𝑥) = −𝑥 + 2𝑥 ³ + 3𝑥 ⁵ − 6

be written in standard form?

• 𝑓(𝑥) = 2𝑥 ³ − 𝑥 + 3𝑥 ⁵ − 6

• 𝑓(𝑥) = −𝑥 + 2𝑥 ³ + 3𝑥 ⁵ − 6

• 𝑓(𝑥) = 3𝑥 ⁵ + 2𝑥 ³ − 𝑥 − 6

• 𝑓(𝑥) = 3𝑥 ⁵ + 2𝑥 ³ + 𝑥 − 6

What are the x-intercepts in the given graph?

• x = -1, 1

• x = -1, -1

• x = 1

• x = -1

In Figure 1, which of the following is the y-intercept?

• -2

• 0

• 1

• 2

Which of the following could be the graph of

𝑔(𝑥) = 𝑥 ³ + 2𝑥 ² + 1?

• 
• 
• 
• 

Using leading coefficient test, what could be the behavior of the graph of

𝑓(𝑥) = −𝑥 ³ + 𝑥 ² − 19?

• Rising on both left and right end of the graph.

• Falling on both left and right end of the graph.

• Rising on the left and falling on the right end of the graph.

• Falling on the left and rising on the right end of the graph

A company’s profit in thousands of pesos is determined by the number of branches x it operates:

𝑃(𝑥) = 𝑥(𝑥 − 15)(𝑥 − 20).

What is the profit if x = 5?

• 750

• 1 500

• 1 875

• 750 000

A sales manager of a shoe factory determines that its profit, P, in thousands of pesos, can be modeled by the function 𝑃(𝑥) = 0.7𝑥 ³ + 𝑥 ² − 10, where x represents the number of pair of shoes sold. What is the profit when there are 100 pairs of shoes sold?

• ₱ 400

• ₱ 709 990

• ₱ 790 593

• ₱ 850 390