Respuesta :

Way:-

Observe the graph and pull down answers

#1

H(0) is value of y intercept

  • 6

#2

  • H(x)=0

we need the x intercepts

  • x=(0.5,1.5,2.25,3,4)

#3

Domain is set of x values

  • [0,4]

#4

Range is set of y values

  • [0,6]
semsee45

Answer:

Question 1

Find H(0) → find the value(s) of H when x = 0

From inspection of the graph, H is the y-axis and x is the x-axis.

Therefore, when x = 0, y = 6 so H(0) = 6

Question 2

Solve H(x) = 0 → find the values of x for which y = 0

From inspection of the graph, y = 0 at:

x = 0.54, x = 1.48 and x = 2.25

Question 3

The domain of a function is the input values, i.e. the x-values.

Therefore, as x is equal to zero or positive,
the domain of this function is x ≥ 0

Question 4

The range of a function is the output values, i.e. the y-values.

From inspection, we can see that the y-values range from zero to 6.

Therefore, the range of this function is 0 ≤ y ≤ 6 or using the function notation: 0 ≤ H(x) ≤ 6

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