Comparing Functions: Key Concepts and Techniques

Why is vocabulary important when comparing functions?

• It helps in understanding the context of the problem.

• It allows you to solve equations faster.

• It makes the graphing process easier.

• It helps in comparing values accurately.

What is the average rate of change for g(x) over the interval from -1 to 1?

• 1

• -1

• 2

• -2

Which function has a higher average rate of change over the interval from -1 to 1?

• Cannot be determined

• g(x)

• n(x)

• Both have the same rate of change

What is the y-intercept of g(x)?

• 0

• 6

• 9

• 8

Which statement is true about the y-intercepts of g(x) and n(x)?

• Both have the same y-intercept

• n(x) has a greater y-intercept than g(x)

• g(x) has a greater y-intercept than n(x)

• Cannot be determined

What is the maximum value of g(x)?

• 8

• 6.25

• 9

• 6

Which function has the larger maximum value?

• Cannot be determined

• Both have the same maximum value

• f(x)

• g(x)

What are the factors of the polynomial function given in the last section?

• x, x-2, x+5

• x, x+2, x-5

• x, x-3, x+4

• x, x+3, x-4

What are the roots of the polynomial function with factors x, x-2, and x+5?

• 0, 2, -5

• 0, -2, 5

• 2, -5, 0

• 2, -2, 5

Which graph correctly represents the polynomial function with factors x, x-2, and x+5?

• Graph 2

• Graph 4

• Graph 1

• Graph 3