Answered

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Select the correct texts in the table.
Consider function f.
f(x) =
=
(-x² + 6x + 36, x < -2
4x - 15,
35-4,
-2 ≤ x ≤ 4
> 4
Are the statements about the graph of function true or false?

The graph crosses the y-axis at (0,-15). True/false

The graph has a point of discontinuity at x = -2. True/false

The graph is increasing over the interval (4, ∞o). True/false

The graph is decreasing over the interval (-12, -2). True/false

The domain of the function is all real numbers. True/false

Sagot :

Parrain

Based on the given texts in the table about the graph of the function, the true statements are:

  • The graph crosses the y-axis at (0,-15).
  • The graph has a point of discontinuity at x = -2.
  • The graph is increasing over the interval (4, ∞o).
  • The domain of the function is all real numbers.

Which statements are true of the graph of the function?

The function, 4x - 15 shows that 15 is the y-intercept which means that the graph will cross the y-axis at (0,15).

The point of discontinuity is x = - 2 and we see this with the gap created at x < -2 and -2 ≤ x ≤ 4.

The graph is indeed increasing over the interval (4, ∞o) because any value of x that is greater than 4 will increase f(x) = [tex]3^x^-^4[/tex].

The domain of the function is also all real numbers as it begins at negative infinity and ends at infinity, (-∞, ∞).

Find out more on point of discontinuity at https://brainly.com/question/9553665.

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