Answer:
option B
Step-by-step explanation:
We can see in the graph that the function has two values of x where the value of y goes to infinity: x = -6 and x = 6.
These points where the value of the function goes to infinity usually are roots of the polynomial in the denominator of a fraction (when the values of x tend to these values, the denominator of the fraction tends to 0, so we have a discontinuity in the function).
So the option that represents a function that have these points in x = -6 and x = 6 is the function in option B.
The other options show functions that have only one point that goes to infinity.
y + 6 = 4/3(x - 2)
First, distribute the 4/3
y + 6 = 4/3x - 8/3
Subtract 6 from both sides.
y = 4/3x - 26/3
-26/3 is the y-intercept so start the graph at coordinate (0, -26/3)
After you plot the y-intercept, add 4 to they y-coordinate and 3 to the x-coordinate of the y-intercept to get the next point.
0 + 3 = 3
-26/3 + 4 = -14/3
The next point should be at (3, -14/3)
Add as many points as your professor requires.
The given graphs model exponential functions are a, b and c.
Option a, b and c are the correct answers.
To choose the graph.
<h3>What is exponential function?</h3>
A relation of the form y = ax, with the independent variable x ranging over the entire real number line as the exponent of a positive number a.
Given that:
The three graphs in the second picture are the graphs of exponential functions. You can detect it from the L shaped graphs.
The very first graph represents a linear function. A straight line always represents a linear function. In a Linear function, the change in the values of y is constant throughout in relative to change in x values.
Therefore, the given graphs a, b and c are the correct answers.
Learn more about exponential function here:
brainly.com/question/28189362
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