The table shows three unique, discrete functions. Which statements can be used to accurately compare the functions? Select two options. g(x) has the lowest minimum. f(x) has the greatest maximum. All three functions have a y-intercept. All three functions have an x-intercept. The domain of all three functions is the same.

The table shows three unique discrete functions Which statements can be used to accurately compare the functions Select two options gx has the lowest minimum fx class=

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Answer:

f(x) has the greatest maximum

All three functions have a y-intercept.

Step-by-step explanation:

f(x) minimum: 1

g(x) minimum: -4 1/2

h(x) minimum: -5

f(x) maximum: 10

g(x) maximum: 3 1/2

h(x) maximum: -1

f(x) domain: [0,  2]

g(x) domain: [-2,  2]

h(x) domain: [-1,  2]

f(x) y-intercept: (0, 1)

g(x) y-intercept: (0, -1/2)

h(x) y-intercept: (0, -5)

f(x) has no x-intercept because y values are all positives

g(x) has x-intercept because it has both positive and negative y values

h(x) has no x-intercept because y values are all negatives

The statements which can be used to accurately compare the functions is:

  • f(x) has the greatest maximum
  • All three functions have a y-intercept.

What is a Discrete Function?

This refers to the type of function which has a countable domain which and has the requirements of a function.

Hence, to solve...

  • f(x) minimum: 1
  • g(x) minimum: -4 1/2
  • h(x) minimum: -5
  • f(x) maximum: 10
  • g(x) maximum: 3 1/2
  • h(x) maximum: -1
  • f(x) domain: [0,  2]
  • g(x) domain: [-2,  2]
  • h(x) domain: [-1,  2]
  • f(x) y-intercept: (0, 1)
  • g(x) y-intercept: (0, -1/2)
  • h(x) y-intercept: (0, -5)

With these intercepts and domains, we can conclude that:

  • f(x) has no x-intercept because y values are all positives
  • g(x) has x-intercept because it has both positive and negative y values
  • h(x) has no x-intercept because y values are all negatives

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