Answer:
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Option C:
The value of f(–6) is 6.
Solution:
Let f(x) = y.
The value of y is depend on the value of x.
Here x is independent variable and y is the dependent variable.
To find the value of f(–6):
f(–6) means, we should find the value of our function when x equals –6.
In the given image, see the line on the graph.
The value of x is –6, it is on the left side of the graph.
The value of y corresponding to x = –6 is 6.
y = 6 when x = –6.
So, f(–6) is 6.
Hence the value of f(–6) is 6.
Option C is the correct answer.
Answer:
Value of F(2) = 12
Step-by-step explanation:
Given:
F(x) = 7x - 2
Find:
Value of F(2)
Computation:
F(x) = 7x - 2
putting x = 2
f(2) = 7(2) -2
f(2) = 14 - 2
f(2) = 12
So, Value of F(2) = 12
Answer:
The given function is an exponential function
Written as:
f(x) = 3^x
We can see the transformed function is:
f(x) = 3^(-x+2)-2
So,
The -x instead of x represents that the graph has been reflected over x-axis.
The +2 in the exponent means that there is a horizontal shift of 2 units to the left
Similarly the -2 added to 3^(-x+2) mean that there is a vertical shift of 2 units downwards
The graph is attached here ..
Th red line represents the original function and the blue is for transformed function.
The graph has been made using the online graphing tool "Desmos" ..