Y=-4x-10 for all prime numbers less than 15. What is the domain and range for this?
1 answer:
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See below for the changes when the exponential function is transformed
<h3>How to determine the effect of a</h3>The exponential functions are given as:
An exponential function of the above form is represented as:
See attachment for the graph of the four functions.
<u>When a is large</u>
This is represented by
In this case, the curve of the base form is vertically stretched and it moves closer to the y-axis
<u>When a is small</u>
This is represented by
In this case, the curve of the base form is vertically stretched and it moves away from the x-axis
<u>When a is negative</u>
This is represented by
In this case, the curve of the base form is vertically stretched and is reflected across the y-axis.
Read more about function transformation at:
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Answer:
y = - 3x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (2, 1) and (x₂, y₂ ) = (5, - 8)
m = =
= - 3 , thus
y = - 3x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 1) , then
1 = - 6 + c ⇒ c = 1 + 6 = 7
y = - 3x + 7 ← equation of line