Question

### Gauthmathier7324

Grade 12 · 2021-08-31

YES! We solved the question!

Check the full answer on App Gauthmath

determine which of the following statements are true of f(x)
f(x)=\left\{\begin{array}{l} 2x+3,\ if-1\leq x<3\\ (x-5)^{2}-2,\ if\ x>3\end{array}\right.
I. The domain of f(x) is [-1,\infty )
II. The range for f(x) is [-2,\infty )
III. The graph of f(x) is continuous
IV. As X —— ∞, y\to \infty
V. There is a relative minimum value at the point (5,-2)
VI. The graph is increasing from [-1,\infty )

Good Question (163)

Answer

4.8(844) votes

Help me a lot (89)

Excellent Handwriting (71)

Correct answer (64)

Easy to understand (54)

Clear explanation (46)

Detailed steps (37)

Write neatly (25)

### Gauthmathier1621

Grade 12 · 2021-08-31

Answer

Explanation

Thanks (129)

Does the answer help you? Rate for it!

## Still Have Questions?

Find more answers or ask new questions now.

Related Questions

- For all x, let the function f be defined by f(x)=-\dfrac{1}{a}\left( \dfrac{1}{x}+h\right)^{2}-k, where a, h, and k are constants. If a and k are positive, which of the following CANNOT be true? （ ）A. f(0)=1B. f(1)=-5C. f(-1)=5D. f(-h)=-h
- If f(x)=x^{2}-1 and g(x)=1-x^{2}, then for which of the following values of a does f(2a)-7=g(2a)+7? （ ）A. 0B. 1C. \sqrt{2}D. \sqrt{7}E. 7
- The graph of y=-2x+7 can be expressed as a set of parametric equations. If x=1-t, and y=f(t), then what does f(t) equal? （ ）A. 2t-7B. -2t+5C. 2t+9D. -\dfrac{1}{2}t-7E. 2t+5
- Which of the following graphs represent(s) a constant function? （ ）A. Ⅰ onlyB. Ⅱ onlyC. Ⅲ onlyD. Ⅰ and ⅡE. Ⅱ and Ⅲ
- Graph and analyze function. Describe the domain, range, intercepts, end behavior, continuity, and where the function is increasing or decreasing.

f(x)=x^{\frac{5}{2}} - What is the domain of the function f(x)=\sqrt{x^{2}-10}? （ ）A. x\geqslant0B. x\leqslant-\sqrt{10} or x\geqslant\sqrt{10}C. -\sqrt{10}\ x\leqslant\sqrt{10}D. -10\leqslant x\leqslant10E. x\geqslant\sqrt{10}
- For what value of x will f\left( x\right)=\left( 1-2x\right)^{2} have the minimum value? （ ）A. -1B. -\dfrac{1}{2}C. 0D. \dfrac{1}{2}E. 1
- Find the maximum value of the function f(x)=-4x^{2}+3x+1.
- Find the domain and x intercepts.

G(x)=\dfrac {x^{4}+x^{2}+1}{x^{2}-25} - For which of the following functions will f(-2)=f(2)? （ ）A. f(x)=4x^{3}B. f(x)=\dfrac{x}{5}C. f(x)=3x-1D. f(x)=5+\left\lvert x\right\rvertE. f(x)=x^{3}-4

Load More