15/60 *Simplified Answer: 1/4
Answer:
y + 4 = -3 (x - 5)
In other words,
y = -3 x + 11
Step-by-step explanation:
The slope of the tangent line to y = g(x) at x = 5 is the same as the value of g'(x). g'(5) = 3. Therefore, 3 will be the slope of the tangent line.
The tangent line goes through the point of tangency (5, g(5)). g(5) = -4. Therefore, the tangent line passes through the point (5, -4).
Apply the slope-point form of the line. The equation for a line with slope <em>m</em> that goes through point (a, b) will be y - b = m(x - a). For the tangent line in this question,
What will be the equation of this line?
Answer:
D. y = -5/7x + 5
Step-by-step explanation:
5x + 7y = 35
-5x -5x
7y = 35 - 5x
/7 /7 /7
y = 35/7 - 5/7 x
y = 5 - 5/7x
The names of the functions in the attached figure are:
- Cubic function
- Absolute value function
- Square root function.
- Rational function.
- Quadratic function
<h3>How to name the functions?</h3>
Functions can be named by their parent functions.
This is so because functions derive their properties from their parent functions.
There are several parent functions, some of them are:
- Linear equation
- Exponential equation
- Quadratic equation
- Rational equation
- Logarithmic equation
- Square root equation
- Cubic equation
- Cube root equation
Using the above as a guide, the names of the functions in the attached figure are:
- Cubic function
- Absolute value function
- Square root function.
- Rational function.
- Quadratic function
Read more about parent functions at:
brainly.com/question/17079244
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