1. Answer: To create graphs from verbal expressions, first you have to write the verbal expression as a function. Then, you can create a table of values to look for a pattern and graph the function. The key features of any function can be compared in tables and graphs by creating the matching graph for the function.
2. It is because there is no value of x that will cause the value of f(x) in the formula to equal 0. Notice that the graph crosses the y-axis at 1. ... The inverse of an exponential function is a logarithmic function and the inverse of a logarithmic function is an exponential function
3. y = e^x is an exponential function that increases gradually from (-∞, 0) until it reaches the point (0,1). Thereafter, it very sharply increases on (0,∞).
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George bought 420 cards because 30 x 14 = 420
The answer is 3 50 means 3 in this situation
Answer:
Step-by-step explanation:
A. y-Intercept of ƒ(x)
ƒ(x) = x² - 4x + 3
f(0) = 0² - 4(0) + 3 = 0 – 0 + 3 = 3
The y-intercept of ƒ(x) is (0, 3).
If g(x) opens downwards and has a maximum at y = 3, it's y-intercept is less than (0, 3).
Statement A is TRUE.
B. y-Intercept of g(x)
Statement B is FALSE.
C. Minimum of ƒ(x)
ƒ(x) = x² - 4x + 3
a = 1; b = -4; c = 3
The vertex form of a parabola is
y = a(x - h)² + k
where (h, k) is the vertex of the parabola.
h = -b/(2a) and k = f(h)
h = -b/2a = -(-4)/(2×1 = 2
k = f(2) = 2² - 4×2 + 3 =4 – 8 +3 = -1
The minimum of ƒ(x) is -1. The minimum of ƒ(x) is at (2, -1).
Statement C is FALSE.
D. Minimum of g(x)
g(x) is a downward-opening parabola. It has no minimum.
Statement D is FALSE
Answer:
Step-by-step explanation:
10^6