In order to find the value of f(-2), you can plug -2 wherever x is.
f(x) = 6x^2 - 4
f(-2) = 6(-2)^2 - 4
f(-2) = 6(4) - 4
f(-2) = 24 - 4
f(-2) = 20
Thus, the value of f(-2) is 20. Hope this helps! If you have any other questions related to this, let me know.
Answer:
option B
Step-by-step explanation:
We can see in the graph that the function has two values of x where the value of y goes to infinity: x = -6 and x = 6.
These points where the value of the function goes to infinity usually are roots of the polynomial in the denominator of a fraction (when the values of x tend to these values, the denominator of the fraction tends to 0, so we have a discontinuity in the function).
So the option that represents a function that have these points in x = -6 and x = 6 is the function in option B.
The other options show functions that have only one point that goes to infinity.
<h3>
Answer: C) 4</h3>
All points on the blue curve f(x) are shifted up 4 units to get corresponding points on the red curve g(x). For example, the point (0,-3) moves up 4 units to (0,1).
g(x) = f(x)+k
g(x) = f(x)+4
4th quadrant is positive x (cos) and negative y (sin)
Use the Pythagorean Theorem to calculate the value of y (sin).
x² + y² = c²
5² + y² = 13²
25 + y² = 169
y² = 144
y = 12
Since the y-value is negative in the 4th quadrant, then y = -12
you have the following inequality:
3 + 4x > -5
in order to solve for x, proceed as follow:
3 + 4x > -5 subtract 3 both sides
4x > - 5 - 3
4x > -8 divide by 4 both sides
x > -8/4
x > -2
Hence, the solution to the given inequality is x > -2
