The function f(x) is graphed on the coordinate plane. What is f(−1) ?
2 answers:
ANSWER
EXPLANATION
Method 1
We can determine that,
by tracing directly from the graph as shown in the attachment.
Method 2.
We can find the equation of the line first.
The graph passes through
(0,1) and (1,-1).
The equation of the line is of the form,
where
is the slope and
is the y-intercept.
This implies that,
We evaluate to get,
EXPLANATION
Method 1
We can determine that,
by tracing directly from the graph as shown in the attachment.
Method 2.
We can find the equation of the line first.
The graph passes through
(0,1) and (1,-1).
The equation of the line is of the form,
where
is the slope and
is the y-intercept.
This implies that,
We evaluate to get,
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The zero of the function is at 33.69 degree , the graph is plotted and attached with the answer.
<h3>What is a Function ?</h3>A function is a law that relates a dependent variable and an independent variable with each other
It is given that
y = 2tan (x - π/2) +3
To find the zeroes of a function that function has to be equated to zero.
2tan (x - π/2) +3 = 0
2tan (x - π/2) = -3
tan (x - π/2) = -3/2
x - 90 = -56.31
x = 33.69 degree
The zero of the function is at 33.69 degree
For finding the maxima /minima
the derivative is
dy/dx = 2 sec² (x - π/2)
the point at which the slope is zero is substituted in the second derivative to find maxima/minima
d²y/dx² = 4 sec² (x - π/2) tan (x - π/2)
if the value is negative then it is a maxima and if it is positive it is a minima.
The vertical asymptote is found by finding the values that make the function undefined
x = 0+ πn
No horizontal or oblique asymptote
To know more about Function
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