An exponential function is a function in which the independent variable is an exponent. Exponential functions have the general form y = f (x) = ax, where a > 0, a≠1, and x is any real number. The reason a > 0 is that if it is negative, the function is undefined for -1 < x < 1.
Answer:
-2
Step-by-step explanation:
since the parabola opens upwards, the minimum is at the vertex of the parabola and the maximum is infinity, because the lines of a parabola goes on forever
you look for the smallest x value for the parabola and since you can see that the vertex of the parabola lies on x=-2, the minimum value of the function is -2.
Hope that helps :)
Answer:
(a) -3
Step-by-step explanation:
The value of f(x) approaches 3cos(π) = -3 as x approaches π from either direction. The limit is -3.
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<em>Additional comment</em>
The fact that the function is defined to have a different value at x=π simply means there is a jump discontinuity there. The function is <em>not continuous</em>, because the limit and the function value differ. That doesn't detract from the fact that there is a limit, and it is -3.
Answer:
Calculating two points and drawing the line between the two.
Explanation:
To find the y-intercept, put x = 0
y = 2 (0) - 1
y = -1
To find the x-intercept, put y = 0
2x - 1 = 0
2x = 1
x = 1/2
Draw your system of axis. Mark -1 on the y-axis, and 1/2 on the x-axis.
Now draw a line through these two ponts. Add arrows.
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To draw the graph by using points,
let x = -1, then y = 2 (-1) - 1 = -2 - 1 = -3
first point is (-1; -3)
Let x = 0, y = 2 (0) - 1 = -1
Second point is (0; -1)
Let x = 1, y = 2(1) - 1 = 1
Third point is (1; 1)
Plot the three points and draw a line through them. Add arrows to your line.
