Which equation describes the function whose y-intercept is 6 and whose

Mathematics

1 answer:

Hitman42 [59]2 years ago

3 0

Answer:

y=2x+6

slope intercept form: y=mx+y-intercept

m=slope

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Find the domain and range of f(x) = |x| + cosx

Rasek [7]

Answer:

D. domain: (-infinity, infinity); range: [1, infinity)

Step-by-step explanation:

The domain is the values that x can take

The domain is (-infinity, infinity)

The range is the values that y can take

absolute value is 0 or greater

cos x is from -1 to 1

The minimum value is when x=0

The smallest value is 1 and the largest is infinity

3 0

2 years ago

Consider the square root function f(x) = sqrt x + 2 + 1 to complete the table of values below. find each missing value and then

Scrat [10]

Given the function :

$f(x)=\sqrt[]{x+2}+1$

We need to find each missing value

Given x = -3 , -2 , -1 , 2 , 7

So, substitute with each value of x to find the corresponding value of f(x)

$x=-3\rightarrow f(x)=\sqrt[]{-3+2}+1=\sqrt[]{-1}+1$

So, there is no value for f(x) at x = -3 (the function undefined because the square root of -1)

$\begin{gathered} x=-2\rightarrow f(x)=\sqrt[]{-2+2}+1=\sqrt[]{0}+1=0+1=1 \\ \\ x=-1\rightarrow f(x)=\sqrt[]{-1+2}+1=\sqrt[]{1}+1=1+1=2 \\ \\ x=2\rightarrow f(x)=\sqrt[]{2+2}+1=\sqrt[]{4}+1=2+1=3 \\ \\ x=7\rightarrow f(x)=\sqrt[]{7+2}+1=\sqrt[]{9}+1=3+1=4 \end{gathered}$

the graph of the function and the points will be as shown in the following image :