Comparing Characteristics of Functions Answers

Which functions have a maximum value greater than the maximum of the function g(x) = –(x + 3)2 – 4? Check all that apply.f(x) = –(x + 1)2 – 2f(x) = –|x + 4| – 5 f(x) = –|2x| + 3

Which function has the smallest x-intercept value, if it exists?

Which statements comparing the functions are true? Check all that apply.

Which function has the greatest y-intercept?

Which function has the same minimum value as ?

Which graph shows a function whose domain and range exclude exactly one value?

Compare the function given in the graph, f(x), with g(x) = |x| + 3. Which statements comparing the functions are true? Check all that apply.

Which function has the greater slope and what does it represent?

Which functions have a maximum value greater than the maximum of the function g(x) = –(x + 3)2 – 4? Check all that apply.f(x) = –(x + 1)2 – 2f(x) = –|x + 4| – 5 f(x) = –|2x| + 3

Which function has the smallest x-intercept value, if it exists?

Which statements comparing the functions are true? Check all that apply.

Which function has the greatest y-intercept?

Three functions are shown in the table on the left. Complete the sentences comparing the three functions. has the greatest maximum. has the lowest minimum. has/have both x- and y-intercepts.

Which function has the same minimum value as ?

Which graph shows a function whose domain and range exclude exactly one value?

Which function has the greater slope and what does it represent?

Compare the function given in the graph, f(x), with g(x) = |x| + 3. Which statements comparing the functions are true? Check all that apply.

f(x)g(x)h(x)

f(x)g(x)✔ h(x)

h(x) f(x) and g(x) f(x), g(x), and h(x)

h(x) f(x) and g(x) ✔ f(x), g(x), and h(x)

Three functions are shown in the table on the left. Complete the sentences comparing the three functions.

f(x) g(x) h(x)