1/2.
1/2 is equivalent to .5 which is closest to .8
Answer:
[-6, 8]
Step-by-step explanation:
Domain: set of all possible <u>input</u> values (x-values)
Range: set of all possible <u>output</u> values (y-values)
The <u>closed circles</u> on the <u>endpoints</u> of the curve mean that those points are <u>included</u> in the interval.
From inspection of the graph, the smallest y-value is -6 and greatest y-value is 8.
To express this in <u>interval notation</u> write the beginning and ending numbers of the interval inside <u>square brackets</u> as the end values are <u>included</u>.
(If the circles were open, and therefore the end values should not be included, use curved brackets).
Therefore the range of the given graph is: [-6, 8]
Step-by-step explanation:
PYTHAGORAS THEOREM
Y = ²/₃x + 7
y = ²/₃(5) + 7
y = 3¹/₃ + 7
y = 10¹/₃
(x, y) = (5, 10¹/₃)
Replace the f(x) with y and proceed to make x the subject:
y=1/4x-12
y+12=1/4x
To ÷1/4 on both sides, ×4 on both sides
4(y+12)=x
4y+48=x
Now swap y with x and replace the isolated x with f(x) to get the inverse function: