Answer:
B, C, D
Step-by-step explanation:
In this problem, the range is what the output, or y, can be. The origin, or the middie of the graph, is when x=0 and y=0. From the 10s on the screen, we can gather that 5 lines = a distance of 10 on the graph. Using this information, we can say
5 lines = distance of 10
divide both sides by 5 to find the distance for each line
1 line = distance of 2
The function goes from y=0 to three lines down, for a distance of 6. The range is therefore [-6,0] as all values from -6 to 0 on the y axis are included on the graph, including 0 and -6. In this range, -6, -2, and -1 are all included.
Answer:
Step-by-step explanation:
√x - 7 = 3 {add 7 to bothe sides}
√x - 7 + 7 = 3 + 7
√x + 0 = 10
√x = 10
Square both sides,
(√x)² = 10²
x = 100
<h3>
<u>Explanation</u></h3>
![6 - 7(x + 1) = - 3(2 - x)](https://tex.z-dn.net/?f=6%20-%207%28x%20%2B%201%29%20%3D%20%20-%203%282%20-%20x%29)
![6 - 7x - 7 = - 6 + 3x \\ - 1 - 7x = - 6 + 3x](https://tex.z-dn.net/?f=6%20-%207x%20-%207%20%3D%20%20-%206%20%2B%203x%20%5C%5C%20%20-%201%20-%207x%20%3D%20%20-%206%20%2B%203x)
- Solve the equation for x-term by making x as the subject.
![- 1 + 6 = 7x + 3x \\ 5 = 10x \\ \frac{5}{10} = x \\ \frac{1}{2} = x](https://tex.z-dn.net/?f=%20-%201%20%2B%206%20%3D%207x%20%2B%203x%20%5C%5C%205%20%3D%2010x%20%5C%5C%20%20%5Cfrac%7B5%7D%7B10%7D%20%20%3D%20x%20%5C%5C%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%3D%20x)
- Answer Check by substituting the value of x in the equation.
![6 - 7( \frac{1}{2} ) - 7 = - 6 + 3( \frac{1}{2} ) \\ 6 - \frac{7}{2} - 7 = - 6 + \frac{3}{2} \Longrightarrow \sf{You \: \: can \: \: change \: \: sides \: \: to \: \: make \: \: it \: \: easier} \\ 6 - 7 + 6 = \frac{7}{2} + \frac{3}{2} \\ 5 = \frac{10}{2} \\ 5 = 5 \: \green{ \checkmark}](https://tex.z-dn.net/?f=6%20-%207%28%20%5Cfrac%7B1%7D%7B2%7D%20%29%20-%207%20%3D%20%20-%206%20%2B%203%28%20%5Cfrac%7B1%7D%7B2%7D%20%29%20%5C%5C%206%20-%20%20%5Cfrac%7B7%7D%7B2%7D%20%20-%207%20%3D%20%20-%206%20%2B%20%20%5Cfrac%7B3%7D%7B2%7D%20%20%5CLongrightarrow%20%5Csf%7BYou%20%5C%3A%20%20%5C%3A%20can%20%5C%3A%20%20%5C%3A%20change%20%5C%3A%20%20%5C%3A%20sides%20%5C%3A%20%20%20%5C%3A%20to%20%5C%3A%20%20%5C%3A%20make%20%5C%3A%20%20%5C%3A%20it%20%5C%3A%20%20%5C%3A%20easier%7D%20%5C%5C%206%20-%207%20%2B%206%20%3D%20%20%5Cfrac%7B7%7D%7B2%7D%20%20%2B%20%20%5Cfrac%7B3%7D%7B2%7D%20%20%5C%5C%205%20%3D%20%20%5Cfrac%7B10%7D%7B2%7D%20%20%5C%5C%205%20%3D%205%20%5C%3A%20%20%5Cgreen%7B%20%5Ccheckmark%7D)
The equation is true for x = 1/2.
<h3>
<u>Answer</u></h3>
<u>
</u>
Easy peasy
sub -4 for every x
f(-4)=3(-4)-5
f(-4)=-12-5
f(-4)=-17
answer is C