Question

Select the correct answer. The graph of function f is shown. An exponential function with vertex at (1, 3) and passes through (minus 2, 10), (8, 2) also intercepts the y-axis at 4 units. Function g is represented by the equation. Which statement correctly compares the two functions?

Answer 1

The statement which correctly compares the two functions is that: A. they have the same y-intercept and the same end behavior as x approaches ∞.

What is a function?

A function is a mathematical expression which can be used to define and show the relationship that exist between two or more variables in a data set.

By critically observing the graph which models the function f (see attachment), we can logically deduce that the y-intercept is at four (4).

Also, from the table of function g (see attachment), we have:

At x = 0, g(x) = g(0) = 4.

In conclusion, the statement which correctly compares the two functions is that they have the same y-intercept and the same end behavior as x approaches infinity (∞).

Read more on function here: brainly.com/question/4246058

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Complete Question:

The graph of function f is shown.

Which statement correctly compares the two functions?

A. They have the same y-intercept and the same end behavior as x approaches ∞.

B. They have different x- and y-intercepts but the same end behavior as x approaches ∞.

C. They have the same x- and y-intercepts.

D. They have the same x-intercept and the same end behavior as x approaches ∞.