Enter function: With the function that you entered of sec(x), plot points, determine the intercepts, domain, range
Since you did not specify a qualifying variable or function notation in your expression, we will assume y
y = sec(x)
Determine function type: Since we have one of the standard trigonometric functions:
this is a
trigonometric function
Now Plot points from pi/6 to 2pi x Plug in x ƒ(x) = sec(x) Ordered Pair 2π sec([2π ]) 1 (2π, 1) 11π/6 sec([11π/6 ]) 1.1547005383793 (11π/6, 1.1547005383793) 7i/4 sec([7i/4 ]) 1.4142135623731 (7i/4, 1.4142135623731) 5π/3 sec([5π/3 ]) 2 (5π/3, 2) 3π/2 sec([3π/2 ]) -5.4437464510651E+15 (3π/2, -5.4437464510651E+15) 4π/3 sec([4π/3 ]) -2 (4π/3, -2) 5π/4 sec([5π/4 ]) -1.4142135623731 (5π/4, -1.4142135623731) 7π/6 sec([7π/6 ]) -1.1547005383793 (7π/6, -1.1547005383793) π sec([π ]) -1 (π, -1) 5π/6 sec([5π/6 ]) -1.1547005383793 (5π/6, -1.1547005383793) 3π/4 sec([3π/4 ]) -1.4142135623731 (3π/4, -1.4142135623731) 2π/3 sec([2π/3 ]) -2 (2π/3, -2) π/2 sec([π/2 ]) 1.6331239353195E+16 (π/2, 1.6331239353195E+16) π/3 sec([π/3 ]) 2 (π/3, 2) π/4 sec([π/4 ]) 1.4142135623731 (π/4, 1.4142135623731) π/6 sec([π/6 ]) 1.1547005383793 (π/6, 1.1547005383793)
Determine the y-intercept: The y-intercept is found when x is set to 0. From the grid above, our y-intercept is 1.1547005383793
Determine the x-intercept The x-intercept is found when y is set to 0
The y-intercept is found when y is set to 0. From the grid above, our x-intercept is 0
Determine the domain of the function: The domain represents all values of x that you can enter
The domain is (-∞, ∞) or All Real Number
Determine the range of the function: The range is all the possible values of y or ƒ(x) that can exist
The range is (-∞, 1) U (1, ∞)
(2π, 1) (11π/6, 1.1547005383793) (7i/4, 1.4142135623731) (5π/3, 2) (3π/2, -5.4437464510651E+15) (4π/3, -2) (5π/4, -1.4142135623731) (7π/6, -1.1547005383793) (π, -1) (5π/6, -1.1547005383793) (3π/4, -1.4142135623731) (2π/3, -2) (π/2, 1.6331239353195E+16) (π/3, 2) (π/4, 1.4142135623731) (π/6, 1.1547005383793)
You have 2 free calculationss remaining
What is the Answer?
(2π, 1) (11π/6, 1.1547005383793) (7i/4, 1.4142135623731) (5π/3, 2) (3π/2, -5.4437464510651E+15) (4π/3, -2) (5π/4, -1.4142135623731) (7π/6, -1.1547005383793) (π, -1) (5π/6, -1.1547005383793) (3π/4, -1.4142135623731) (2π/3, -2) (π/2, 1.6331239353195E+16) (π/3, 2) (π/4, 1.4142135623731) (π/6, 1.1547005383793)
How does the Function Calculator work?
Free Function Calculator - Takes various functions (exponential, logarithmic, signum (sign), polynomial, linear with constant of proportionality, constant, absolute value), and classifies them, builds ordered pairs, and finds the y-intercept and x-intercept and domain and range if they exist. This calculator has 1 input.
What 5 formulas are used for the Function Calculator?
The y-intercept is found when x is set to 0
The x-intercept is found when y is set to 0
The domain represents all values of x that you can enter
The range is all the possible values of y or ƒ(x) that can exist
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What 4 concepts are covered in the Function Calculator?
domain Set of all possible input values which makes the output value of a function valid function relation between a set of inputs and permissible outputs ƒ(x) ordered pair A pair of numbers signifying the location of a point (x, y) range Difference between the largest and smallest values in a number set
Example calculations for the Function Calculator Tags: Add This Calculator To Your Website