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.

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

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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step-by-step explanation: